Prime p₀= 2126381689093319387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2126379178641653471	0 12 26 30 32 132 152 170 198 216 236 336 338 342 356 368	-2510451665916
SPT(16)	2126380560663434377	0 24 64 100 136 154 156 210 250 304 306 324 360 396 436 460	-1128429885010
SPT(16)	2126380697692875419	0 38 54 60 68 90 98 120 122 144 152 174 182 188 204 242	-991400443968
STPT(10)	2126380856180721587	0 2 42 44 72 74 102 104 144 146	-832912597800
SPT(16)	2126381296221391793	0 26 78 104 176 210 216 258 266 308 314 348 420 446 498 524	-392871927594
SPT(16)	2126381521355720171	0 2 36 56 102 156 170 188 210 228 242 296 342 362 396 398	-167737599216
TPT(14)	2126381766820626647	0 2 54 56 120 122 132 134 180 182 222 224 234 236	77727307260
STPT(10)	2126382005466593141	0 2 36 38 78 80 120 122 156 158	316373273754
TPT(14)	2126382073225895447	0 2 30 32 132 134 210 212 240 242 252 254 312 314	384132576060
SPT(16)	2126382367316857121	0 2 30 50 62 80 138 156 272 290 348 366 378 398 426 428	678223537734
STPT(10)	2126382372211869389	0 2 48 50 60 62 72 74 120 122	683118550002