Prime p₀= 1416038786213158519 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 70 62 22 26 4 18 20 12 28 38 28 12 20 18 4 26 22 62 70 (?)
a_n: 0 70 132 154 180 184 202 222 234 262 300 328 340 360 378 382 408 430 492 562
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 562
derived by truncating larger tuple
Found by: BlackGoose05
db: batch=78, k=20, 70 62 22 26 4 18 20 12 28 38

TPT(14)	1416038139224935241	0 2 30 32 138 140 210 212 240 242 246 248 318 320	-646988223278
SPT(16)	1416038150874051557	0 30 56 62 80 86 114 116 180 182 210 216 234 240 266 296	-635339106962
SPT(16)	1416038233420677917	0 26 50 74 116 140 152 162 224 234 246 270 312 336 360 386	-552792480602
STPT(10)	1416038307499240949	0 2 18 20 30 32 42 44 60 62	-478713917570
SPT(16)	1416038503213340161	0 22 28 36 70 96 100 130 138 168 172 198 232 240 246 268	-282999818358
SPT(22)	1416038786213158483	0 36 106 168 190 216 220 238 258 270 298 336 364 376 396 414 418 444 466 528 598 634	-36
STPT(10)	1416038870198419067	0 2 30 32 42 44 54 56 84 86	83985260548
STPT(10)	1416039021857958731	0 2 30 32 78 80 126 128 156 158	235644800212
STPT(10)	1416039183981231659	0 2 12 14 90 92 168 170 180 182	397768073140
SPT(16)	1416039431342133551	0 32 42 50 72 90 98 120 140 162 170 188 210 218 228 260	645128975032
TPT(14)	1416039767820079559	0 2 42 44 78 80 108 110 120 122 180 182 210 212	981606921040
TPT(14)	1416040145067766301	0 2 66 68 108 110 150 152 270 272 276 278 348 350	1358854607782