Prime p₀= 2037830256112060367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 58 2 10 2

SPT(16)	2037829579057797859	0 10 54 60 70 88 94 124 258 288 294 312 322 328 372 382	-677054262508
STPT(10)	2037829653647908577	0 2 30 32 72 74 114 116 144 146	-602464151790
SPT(16)	2037829860370745843	0 6 8 48 68 78 138 150 206 218 278 288 308 348 350 356	-395741314524
STPT(10)	2037829936827439169	0 2 48 50 60 62 72 74 120 122	-319284621198
SPT(16)	2037830053844935771	0 16 28 40 42 72 78 88 120 130 136 166 168 180 192 208	-202267124596
SPT(16)	2037830220596860717	0 40 96 144 180 262 276 312 334 370 384 466 502 550 606 646	-35515199650
TPT(14)	2037830583520856741	0 2 66 68 78 80 108 110 210 212 288 290 336 338	327408796374
STPT(12)	2037830658476491787	0 2 30 32 42 44 60 62 72 74 102 104	402364431420
SPT(16)	2037830769048513037	0 82 84 102 156 180 210 232 264 286 316 340 394 412 414 496	512936452670
TPT(14)	2037832300157277719	0 2 18 20 198 200 270 272 390 392 408 410 600 602	2044045217352
SPT(16)	2037832383008536967	0 20 26 102 132 140 156 222 230 296 312 320 350 426 432 452	2126896476600