Prime p₀= 2637695037367026253 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 54 12 8 10 26 16 8 16 26 10 8 12 54 4 (?)
a_n: 0 4 58 70 78 88 114 130 138 154 180 190 198 210 264 268
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: 268
Found by: JayPi
db: batch=82, k=16, 4 54 12 8 10 26 16 8

SPT(16)	2637693515826615907	0 34 84 156 162 226 232 240 286 294 300 364 370 442 492 526	-1521540410346
STPT(10)	2637693601294674269	0 2 42 44 90 92 138 140 180 182	-1436072351984
SPT(16)	2637693727664611807	0 6 34 52 60 72 132 142 144 154 214 226 234 252 280 286	-1309702414446
SPT(16)	2637694524946466663	0 14 20 38 66 80 84 98 156 170 174 188 216 234 240 254	-512420559590
STPT(10)	2637694864490486621	0 2 6 8 18 20 30 32 36 38	-172876539632
SPT(16)	2637694973671061797	0 36 82 96 132 136 142 154 162 174 180 184 220 234 280 316	-63695964456
SPT(16)	2637695225978039147	0 12 30 92 110 180 182 222 242 282 284 354 372 434 452 464	188611012894
STPT(10)	2637695393582259971	0 2 36 38 78 80 120 122 156 158	356215233718
STPT(10)	2637695400466715789	0 2 12 14 90 92 168 170 180 182	363099689536
STPT(10)	2637695522870178107	0 2 30 32 42 44 54 56 84 86	485503151854
SPT(16)	2637695562151412219	0 14 42 62 84 90 114 140 174 200 224 230 252 272 300 314	524784385966