Prime p₀= 2796259585519637057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: JayPi
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2796258419075958583	0 6 76 88 168 196 204 250 294 340 348 376 456 468 538 544	-1166443678474
STPT(10)	2796258478658087621	0 2 6 8 48 50 90 92 96 98	-1106861549436
TPT(14)	2796258850842774167	0 2 12 14 30 32 54 56 132 134 180 182 294 296	-734676862890
SPT(16)	2796259028421945847	0 40 46 66 120 154 190 216 250 276 312 346 400 420 426 466	-557097691210
STPT(10)	2796259276267078199	0 2 42 44 90 92 138 140 180 182	-309252558858
SPT(16)	2796259563541224083	0 6 14 20 30 78 98 120 134 156 176 224 234 240 248 254	-21978412974
TPT(14)	2796259868957567561	0 2 48 50 96 98 150 152 300 302 306 308 330 332	283437930504
SPT(16)	2796260007499571369	0 14 30 32 72 78 84 120 122 158 164 170 210 212 228 242	421979934312
SPT(16)	2796261268270664851	0 30 46 76 160 196 252 262 276 286 342 378 462 492 508 538	1682751027794
STPT(10)	2796261307265333417	0 2 42 44 72 74 102 104 144 146	1721745696360
SPT(16)	2796261412032705619	0 30 48 52 72 118 142 148 204 210 234 280 300 304 322 352	1826513068562