Prime p₀= 1210343450651273957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: HenkM
db: batch=77, k=10, 2 10 2 58 2

SPT(16)	1210342493985313433	0 26 38 54 66 78 104 140 174 210 236 248 260 276 288 314	-956665960524
SPT(16)	1210342504517558813	0 8 14 38 134 164 170 224 240 294 300 330 426 450 456 464	-946133715144
SPT(16)	1210343125142490697	0 54 66 70 112 144 172 180 196 204 232 264 306 310 322 376	-325508783260
STPT(10)	1210343190497645459	0 2 12 14 90 92 168 170 180 182	-260153628498
SPT(16)	1210343292373695367	0 90 94 142 192 202 216 244 252 280 294 304 354 402 406 496	-158277578590
STPT(10)	1210343424139555619	0 2 42 44 90 92 138 140 180 182	-26511718338
SPT(16)	1210343504961194413	0 10 36 46 60 84 108 120 154 166 190 214 228 238 264 274	54309920456
STPT(10)	1210343773655419757	0 2 54 56 72 74 90 92 144 146	323004145800
STPT(10)	1210343946900102407	0 2 30 32 42 44 54 56 84 86	496248828450
SPT(16)	1210344025149235919	0 54 62 68 98 150 164 224 228 288 302 354 384 390 398 452	574497961962
STPT(10)	1210344545379557057	0 2 30 32 42 44 54 56 84 86	1094728283100