Prime p₀= 1144332331181086277 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: MarkRBright
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1144330951870419553	0 4 34 48 78 84 130 144 160 174 220 226 256 270 300 304	-1379310666724
STPT(10)	1144331296189848461	0 2 36 38 78 80 120 122 156 158	-1034991237816
TPT(14)	1144331661352071851	0 2 96 98 306 308 348 350 378 380 456 458 558 560	-669829014426
STPT(10)	1144331933058266669	0 2 90 92 210 212 330 332 420 422	-398122819608
SPT(16)	1144331933643937721	0 2 26 42 68 86 126 132 236 242 282 300 326 342 366 368	-397537148556
STPT(10)	1144332114771084101	0 2 36 38 78 80 120 122 156 158	-216410002176
SPT(16)	1144332623970421153	0 28 30 76 136 154 178 198 256 276 300 318 378 424 426 454	292789334876
SPT(16)	1144332836129158519	0 34 48 70 72 84 132 174 208 250 298 310 312 334 348 382	504948072242
TPT(14)	1144333134148706609	0 2 48 50 90 92 162 164 198 200 258 260 312 314	802967620332
SPT(16)	1144333144246401773	0 14 48 60 80 86 126 144 170 188 228 234 254 266 300 314	813065315496
STPT(10)	1144333199637940049	0 2 12 14 90 92 168 170 180 182	868456853772