Prime p₀= 3031968980872385093 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 50 10 36 12 32 18 52 18 32 12 36 10 50 18 (?)
a_n: 0 18 68 78 114 126 158 176 228 246 278 290 326 336 386 404
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: 404
Found by: Alnitak2019
db: batch=82, k=16, 18 50 10 36 12 32 18 52

SPT(16)	3031967011921247177	0 24 42 44 72 114 140 162 284 306 332 374 402 404 422 446	-1968951137916
SPT(16)	3031967112559448807	0 14 44 74 182 240 272 282 284 294 326 384 492 522 552 566	-1868312936286
SPT(16)	3031967308737620189	0 2 30 98 104 140 210 224 228 242 312 348 354 422 450 452	-1672134764904
STPT(10)	3031967331668344409	0 2 18 20 30 32 42 44 60 62	-1649204040684
SPT(18)	3031967758967090599	0 12 52 54 64 82 84 120 130 144 154 190 192 210 220 222 262 274	-1221905294494
TPT(14)	3031967790617516129	0 2 12 14 150 152 168 170 222 224 288 290 318 320	-1190254868964
SPT(16)	3031968991478730049	0 28 48 88 108 118 162 178 204 220 264 274 294 334 354 382	10606344956
STPT(10)	3031969200432333827	0 2 12 14 42 44 72 74 84 86	219559948734
STPT(10)	3031969578530103317	0 2 30 32 42 44 54 56 84 86	597657718224
SPT(16)	3031969614377747369	0 32 44 60 62 84 110 144 170 204 230 252 254 270 282 314	633505362276
STPT(10)	3031970250938677847	0 2 30 32 42 44 54 56 84 86	1270066292754