Prime p₀= 2037829653647908577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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 28 2 40 2

STPT(12)	2037827847089157701	0 2 6 8 30 32 186 188 210 212 216 218	-1806558750876
SPT(16)	2037828446754145187	0 2 24 60 84 104 116 164 192 240 252 272 296 332 354 356	-1206893763390
SPT(16)	2037828550343924321	0 68 102 132 228 240 272 302 348 378 410 422 518 548 582 650	-1103303984256
SPT(16)	2037828643470194629	0 22 48 82 192 202 250 270 280 300 348 358 468 502 528 550	-1010177713948
SPT(16)	2037829286901153793	0 10 24 36 84 150 160 168 196 204 214 280 328 340 354 364	-366746754784
SPT(16)	2037829579057797859	0 10 54 60 70 88 94 124 258 288 294 312 322 328 372 382	-74590110718
SPT(16)	2037829860370745843	0 6 8 48 68 78 138 150 206 218 278 288 308 348 350 356	206722837266
STPT(10)	2037829936827439169	0 2 48 50 60 62 72 74 120 122	283179530592
SPT(16)	2037830053844935771	0 16 28 40 42 72 78 88 120 130 136 166 168 180 192 208	400197027194
SPT(16)	2037830220596860717	0 40 96 144 180 262 276 312 334 370 384 466 502 550 606 646	566948952140
STPT(10)	2037830256112060367	0 2 60 62 72 74 84 86 144 146	602464151790