Prime p₀= 2126382005466593141 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2126380697692875419	0 38 54 60 68 90 98 120 122 144 152 174 182 188 204 242	-1307773717722
STPT(10)	2126380856180721587	0 2 42 44 72 74 102 104 144 146	-1149285871554
SPT(16)	2126381296221391793	0 26 78 104 176 210 216 258 266 308 314 348 420 446 498 524	-709245201348
SPT(16)	2126381521355720171	0 2 36 56 102 156 170 188 210 228 242 296 342 362 396 398	-484110872970
STPT(10)	2126381689093319387	0 2 30 32 72 74 114 116 144 146	-316373273754
TPT(14)	2126381766820626647	0 2 54 56 120 122 132 134 180 182 222 224 234 236	-238645966494
TPT(14)	2126382073225895447	0 2 30 32 132 134 210 212 240 242 252 254 312 314	67759302306
SPT(16)	2126382367316857121	0 2 30 50 62 80 138 156 272 290 348 366 378 398 426 428	361850263980
STPT(10)	2126382372211869389	0 2 48 50 60 62 72 74 120 122	366745276248
STPT(12)	2126382572084797751	0 2 48 50 90 92 126 128 168 170 216 218	566618204610
SPT(16)	2126383312499118383	0 8 44 140 176 218 254 326 408 480 516 558 594 690 726 734	1307032525242