Prime p₀= 2356849284211880881 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 28 26 4 8 4 8 148 8 4 8 4 26 28 12 (?)
a_n: 0 12 40 66 70 78 82 90 238 246 250 258 262 288 316 328
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: 328
Found by: Landjunge
db: batch=81, k=16, 12 28 26 4 8 4 8 148

SPT(16)	2356848297628785403	0 4 46 66 70 78 148 150 154 156 226 234 238 258 300 304	-986583095478
TPT(14)	2356848595358508497	0 2 30 32 54 56 120 122 180 182 252 254 294 296	-688853372384
STPT(10)	2356848598540482251	0 2 6 8 18 20 30 32 36 38	-685671398630
STPT(10)	2356848681237112757	0 2 30 32 60 62 90 92 120 122	-602974768124
SPT(16)	2356849009014654541	0 18 28 46 70 102 192 220 228 256 346 378 402 420 430 448	-275197226340
STPT(10)	2356849141410932711	0 2 6 8 48 50 90 92 96 98	-142800948170
SPT(16)	2356849299728946941	0 18 20 32 42 50 80 92 156 168 198 206 216 228 230 248	15517066060
SPT(16)	2356849493945042989	0 22 54 70 118 154 204 244 258 298 348 384 432 448 480 502	209733162108
STPT(10)	2356850601686917517	0 2 24 26 42 44 60 62 84 86	1317475036636
STPT(10)	2356850830386206501	0 2 6 8 48 50 90 92 96 98	1546174325620
SPT(16)	2356850836679188153	0 64 96 184 196 210 234 240 244 250 274 288 300 388 420 484	1552467307272