Prime p₀= 1016556573164703017 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 30 12 54 30 34 26 10 26 34 30 54 12 30 14 (?)
a_n: 0 14 44 56 110 140 174 200 210 236 270 300 354 366 396 410
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 410
Found by: stoneageman
db: batch=76, k=16, 14 30 12 54 30 34 26 10

SPT(16)	1016554462293679499	0 14 24 50 54 68 84 98 120 134 150 164 168 194 204 218	-2110871023518
TPT(14)	1016554877707767491	0 2 78 80 168 170 186 188 210 212 216 218 288 290	-1695456935526
STPT(10)	1016555116256103329	0 2 12 14 90 92 168 170 180 182	-1456908599688
SPT(13)	1016555378209628083	0 30 36 60 168 186 198 210 228 336 360 366 396	-1194955074934
SPT(16)	1016555669736848873	0 20 24 36 38 56 60 66 98 104 108 126 128 140 144 164	-903427854144
SPT(18)	1016556024877985989	0 18 24 48 78 82 88 144 154 228 238 294 300 304 334 358 364 382	-548286717028
SPT(16)	1016556580087554371	0 6 8 20 32 38 60 68 90 98 120 126 138 150 152 158	6922851354
STPT(10)	1016556681609914741	0 2 6 8 18 20 30 32 36 38	108445211724
SPT(16)	1016556727959081847	0 42 54 72 76 90 126 174 202 250 286 300 304 322 334 376	154794378830
SPT(16)	1016556874220005219	0 34 52 54 58 154 204 210 232 238 288 384 388 390 408 442	301055302202
SPT(16)	1016556876756262987	0 34 52 70 94 96 112 124 132 144 160 162 186 204 222 256	303591559970