Prime p₀= 2057296023534126041 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: ChUcK
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2057294706421694149	0 42 60 120 154 204 222 264 280 322 340 390 424 484 502 544	-1317112431892
STPT(10)	2057294819782937081	0 2 6 8 48 50 90 92 96 98	-1203751188960
SPT(16)	2057295133524919273	0 16 30 66 94 150 156 226 294 364 370 426 454 490 504 520	-890009206768
STPT(10)	2057295370070207087	0 2 60 62 72 74 84 86 144 146	-653463918954
SPT(16)	2057295745808258881	0 30 52 100 102 126 256 286 312 342 472 496 498 546 568 598	-277725867160
STPT(10)	2057295894254460911	0 2 6 8 18 20 30 32 36 38	-129279665130
SPT(16)	2057296291824679111	0 42 76 126 136 138 166 178 180 192 220 222 232 282 316 358	268290553070
STPT(10)	2057296459465542851	0 2 6 8 48 50 90 92 96 98	435931416810
SPT(16)	2057296574044902313	0 40 54 76 78 114 118 120 244 246 250 286 288 310 324 364	550510776272
SPT(16)	2057296675914080897	0 6 24 32 72 102 132 164 252 284 314 344 384 392 410 416	652379954856
STPT(10)	2057296796006439269	0 2 42 44 60 62 78 80 120 122	772472313228