Prime p₀= 2127779704771020067 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 30 50 40 6 24 12 8 12 24 6 40 50 30 4 (?)
a_n: 0 4 34 84 124 130 154 166 174 186 210 216 256 306 336 340
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: 340
Found by: retroactivemind
db: batch=80, k=16, 4 30 50 40 6 24 12 8

SPT(16)	2127778690093794581	0 8 18 26 78 86 98 138 200 240 252 260 312 320 330 338	-1014677225486
STPT(10)	2127778740037221989	0 2 12 14 90 92 168 170 180 182	-964733798078
SPT(16)	2127779089560143147	0 42 44 66 144 150 156 200 216 260 266 272 350 372 374 416	-615210876920
SPT(16)	2127779419418536781	0 6 30 32 56 72 78 86 132 140 146 162 186 188 212 218	-285352483286
STPT(10)	2127779430174031691	0 2 36 38 78 80 120 122 156 158	-274596988376
SPT(16)	2127779468946456487	0 10 12 42 84 94 154 162 184 192 252 262 304 334 336 346	-235824563580
STPT(10)	2127779847006910709	0 2 18 20 30 32 42 44 60 62	142235890642
SPT(16)	2127780248951157551	0 66 108 176 186 192 200 258 260 318 326 332 342 410 452 518	544180137484
STPT(10)	2127780408358210391	0 2 36 38 78 80 120 122 156 158	703587190324
SPT(16)	2127780614669269493	0 14 38 50 98 126 168 170 174 176 218 246 294 306 330 344	909898249426
SPT(16)	2127780799131589387	0 4 10 30 60 120 132 142 162 172 184 244 274 294 300 304	1094360569320