Prime p₀= 1679346598777488643 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 6 4 8 30 42 10 14 6 28 8 28 6 14 10 42 30 8 4 6 (?)
a_n: 0 6 10 18 48 90 100 114 120 148 156 184 190 204 214 256 286 294 298 304
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: 304
derived by truncating larger tuple
Found by: eclipse99
db: batch=79, k=20, 6 4 8 30 42 10 14 6 28 8

SPT(16)	1679345773345137379	0 30 34 40 58 60 124 130 138 144 208 210 228 234 238 268	-825432351264
SPT(16)	1679345932516051619	0 14 50 80 110 114 122 152 210 240 248 252 282 312 348 362	-666261437024
SPT(16)	1679346207813656087	0 54 104 122 132 212 236 252 254 270 294 374 384 402 452 506	-390963832556
TPT(14)	1679346384594256559	0 2 60 62 192 194 240 242 282 284 360 362 432 434	-214183232084
STPT(10)	1679346499486072601	0 2 30 32 60 62 90 92 120 122	-99291416042
SPT(22)	1679346598777488587	0 56 62 66 74 104 146 156 170 176 204 212 240 246 260 270 312 342 350 354 360 416	-56
STPT(10)	1679346634234768979	0 2 18 20 30 32 42 44 60 62	35457280336
STPT(10)	1679346691728418397	0 2 24 26 42 44 60 62 84 86	92950929754
STPT(10)	1679346955967317937	0 2 24 26 42 44 60 62 84 86	357189829294
SPT(16)	1679347117281018149	0 24 48 74 90 98 108 138 200 230 240 248 264 290 314 338	518503529506
STPT(10)	1679347390241301239	0 2 18 20 30 32 42 44 60 62	791463812596
SPT(16)	1679347595556115319	0 38 44 48 72 74 108 162 170 224 258 260 284 288 294 332	996778626676