Prime p₀= 1144714729799047697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Putin Has a Small Dick
db: batch=76, k=10, 2 88 2 40 2

STPT(10)	1144713650335476581	0 2 6 8 48 50 90 92 96 98	-1079463571116
SPT(16)	1144713652659734669	0 24 78 80 84 144 150 200 288 338 344 404 408 410 464 488	-1077139313028
SPT(16)	1144714196046592849	0 28 58 88 130 142 160 168 214 222 240 252 294 324 354 382	-533752454848
SPT(16)	1144714232873304869	0 12 24 174 182 194 198 200 222 224 228 240 248 398 410 422	-496925742828
STPT(10)	1144714402477404329	0 2 18 20 30 32 42 44 60 62	-327321643368
TPT(14)	1144714518354633251	0 2 48 50 126 128 156 158 186 188 198 200 210 212	-211444414446
STPT(10)	1144714881440179961	0 2 6 8 18 20 30 32 36 38	151641132264
STPT(10)	1144715001567351029	0 2 12 14 30 32 48 50 60 62	271768303332
SPT(16)	1144715339948275079	0 12 54 62 80 92 102 110 132 140 150 162 180 188 230 242	610149227382
TPT(14)	1144715361363679307	0 2 102 104 144 146 180 182 210 212 234 236 270 272	631564631610
STPT(10)	1144715545868417177	0 2 12 14 72 74 132 134 144 146	816069369480