Prime p₀= 1020104425840596563 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 30 16 14 42 24 54 22 54 24 42 14 16 30 8 (?)
a_n: 0 8 38 54 68 110 134 188 210 264 288 330 344 360 390 398
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: 398
Found by: HenkM
db: batch=76, k=16, 8 30 16 14 42 24 54 22

SPT(16)	1020102101001348797	0 12 20 90 104 116 122 146 180 204 210 222 236 306 314 326	-2324839247766
STPT(10)	1020102900619239221	0 2 36 38 78 80 120 122 156 158	-1525221357342
STPT(10)	1020103476123248519	0 2 30 32 60 62 90 92 120 122	-949717348044
SPT(16)	1020103943152992589	0 24 34 48 52 72 94 138 154 198 220 240 244 258 268 292	-482687603974
SPT(16)	1020103982700558799	0 4 52 60 70 138 150 154 168 172 184 252 262 270 318 322	-443140037764
SPT(16)	1020104149542834233	0 26 48 56 114 128 180 204 230 254 306 320 378 386 408 434	-276297762330
SPT(16)	1020104555131882189	0 34 40 48 132 154 162 210 292 340 348 370 454 462 468 502	129291285626
SPT(16)	1020104739605384399	0 14 50 84 114 228 260 282 290 312 344 458 488 522 558 572	313764787836
SPT(16)	1020104992315247651	0 2 36 42 66 80 96 108 140 152 168 182 206 212 246 248	566474651088
STPT(10)	1020105480426328559	0 2 48 50 90 92 132 134 180 182	1054585731996
STPT(10)	1020105661434143099	0 2 12 14 30 32 48 50 60 62	1235593546536