Prime p₀= 4044837453463891727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Alnitak2019
db: batch=84, k=10, 2 22 2 16 2

STPT(10)	4044835286804454851	0 2 36 38 78 80 120 122 156 158	-2166659436876
STPT(10)	4044836178765891371	0 2 30 32 78 80 126 128 156 158	-1274698000356
SPT(16)	4044837068588666221	0 6 36 58 60 70 102 106 222 226 258 268 270 292 322 328	-384875225506
SPT(16)	4044837113923777001	0 18 26 78 188 216 218 266 270 318 320 348 458 510 518 536	-339540114726
STPT(10)	4044837263388632801	0 2 96 98 138 140 180 182 276 278	-190075258926
STPT(10)	4044837330109315379	0 2 48 50 90 92 132 134 180 182	-123354576348
SPT(16)	4044837535526711411	0 26 36 78 80 96 98 140 246 288 290 306 308 350 360 386	82062819684
SPT(16)	4044837714260205971	0 50 56 62 78 108 150 188 240 278 320 350 366 372 378 428	260796314244
TPT(14)	4044837727984581509	0 2 18 20 78 80 282 284 288 290 312 314 330 332	274520689782
SPT(16)	4044837778462240157	0 54 84 90 114 116 126 140 156 170 180 182 206 212 242 296	324998348430
TPT(14)	4044838847770385279	0 2 18 20 30 32 108 110 138 140 168 170 240 242	1394306493552