Prime p₀= 813681203842021127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: amazing
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	813680191189534577	0 2 30 32 42 44 54 56 84 86	-1012652486550
STPT(10)	813680528977164851	0 2 30 32 60 62 90 92 120 122	-674864856276
STPT(10)	813680948703047981	0 2 78 80 108 110 138 140 216 218	-255138973146
SPT(16)	813680984812530301	0 10 22 108 126 130 132 220 228 316 318 322 340 426 438 448	-219029490826
STPT(10)	813681144387452387	0 2 12 14 72 74 132 134 144 146	-59454568740
STPT(10)	813681166803833057	0 2 30 32 72 74 114 116 144 146	-37038188070
STPT(10)	813681275562807647	0 2 30 32 72 74 114 116 144 146	71720786520
SPT(16)	813681329504397659	0 8 44 50 54 68 78 158 180 260 270 284 288 294 330 338	125662376532
SPT(16)	813681341347245389	0 2 18 42 62 72 98 132 140 174 200 210 230 254 270 272	137505224262
TPT(14)	813681395537598557	0 2 90 92 102 104 114 116 180 182 294 296 300 302	191695577430
STPT(10)	813681543619037801	0 2 36 38 78 80 120 122 156 158	339777016674