Prime p₀= 3015807970265315567 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: Asgard2022
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	3015806811242961161	0 18 26 32 38 66 98 108 140 150 182 210 216 222 230 248	-1159022354406
SPT(16)	3015806927806759193	0 24 30 38 74 108 116 128 186 198 206 240 276 284 290 314	-1042458556374
SPT(16)	3015807094202373073	0 4 18 54 64 78 100 130 204 234 256 270 280 316 330 334	-876062942494
STPT(10)	3015807213288424031	0 2 36 38 78 80 120 122 156 158	-756976891536
STPT(10)	3015807510163162667	0 2 30 32 42 44 54 56 84 86	-460102152900
STPT(10)	3015807769345046099	0 2 48 50 90 92 132 134 180 182	-200920269468
SPT(16)	3015808221327876649	0 12 174 178 244 252 262 310 342 390 400 408 474 478 640 652	251062561082
SPT(16)	3015808443453893303	0 84 86 104 110 150 156 164 240 248 254 294 300 318 320 404	473188577736
SPT(18)	3015809006722800241	0 46 66 78 88 100 106 108 210 298 400 402 408 420 430 442 462 508	1036457484674
STPT(12)	3015809090680445621	0 2 6 8 48 50 198 200 240 242 246 248	1120415130054
SPT(16)	3015809304984094613	0 24 56 66 134 164 254 290 294 330 420 450 518 528 560 584	1334718779046