Prime p₀= 1147279754794896407 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=76, k=10, 2 22 2 16 2

TPT(14)	1147277547810022829	0 2 12 14 72 74 228 230 252 254 258 260 300 302	-2206984873578
SPT(16)	1147277729023731499	0 28 34 54 60 120 130 138 160 168 178 238 244 264 270 298	-2025771164908
SPT(16)	1147277823035677603	0 34 54 78 118 154 174 190 228 244 264 300 340 364 384 418	-1931759218804
SPT(16)	1147278060576824999	0 12 14 72 168 180 182 194 198 210 212 224 320 378 380 392	-1694218071408
SPT(16)	1147278141391672019	0 2 30 42 44 72 78 92 120 134 140 168 170 182 210 212	-1613403224388
STPT(10)	1147279580793407351	0 2 108 110 138 140 168 170 276 278	-174001489056
SPT(16)	1147279820737617167	0 14 54 66 74 102 144 194 222 272 314 342 350 362 402 416	65942720760
SPT(16)	1147280579670155687	0 14 30 60 74 102 204 212 234 242 344 372 386 416 432 446	824875259280
TPT(14)	1147280662766086337	0 2 12 14 30 32 222 224 264 266 294 296 462 464	907971189930
SPT(16)	1147280666794966799	0 12 44 50 60 62 72 140 174 242 252 254 264 270 302 314	912000070392
TPT(14)	1147280707184867711	0 2 96 98 126 128 150 152 210 212 276 278 318 320	952389971304