Prime p₀= 3031968991478730049 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 20 40 20 10 44 16 26 16 44 10 20 40 20 28 (?)
a_n: 0 28 48 88 108 118 162 178 204 220 264 274 294 334 354 382
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: 382
Found by: Alnitak2019
db: batch=82, k=16, 28 20 40 20 10 44 16 26

SPT(16)	3031967112559448807	0 14 44 74 182 240 272 282 284 294 326 384 492 522 552 566	-1878919281242
SPT(16)	3031967308737620189	0 2 30 98 104 140 210 224 228 242 312 348 354 422 450 452	-1682741109860
STPT(10)	3031967331668344409	0 2 18 20 30 32 42 44 60 62	-1659810385640
SPT(18)	3031967758967090599	0 12 52 54 64 82 84 120 130 144 154 190 192 210 220 222 262 274	-1232511639450
TPT(14)	3031967790617516129	0 2 12 14 150 152 168 170 222 224 288 290 318 320	-1200861213920
SPT(16)	3031968980872385093	0 18 68 78 114 126 158 176 228 246 278 290 326 336 386 404	-10606344956
STPT(10)	3031969200432333827	0 2 12 14 42 44 72 74 84 86	208953603778
STPT(10)	3031969578530103317	0 2 30 32 42 44 54 56 84 86	587051373268
SPT(16)	3031969614377747369	0 32 44 60 62 84 110 144 170 204 230 252 254 270 282 314	622899017320
STPT(10)	3031970250938677847	0 2 30 32 42 44 54 56 84 86	1259459947798
SPT(16)	3031970389127984621	0 6 32 36 48 78 98 102 116 120 140 170 182 186 212 218	1397649254572