Prime p₀= 2499215733714091409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: Groo
db: batch=82, k=10, 2 40 2 46 2

SPT(16)	2499213931453714507	0 96 190 204 214 246 250 252 334 336 340 372 382 396 490 586	-1802260376902
SPT(16)	2499214336356172741	0 78 88 102 132 148 160 238 252 330 342 358 388 402 412 490	-1397357918668
STPT(10)	2499214385063873171	0 2 36 38 78 80 120 122 156 158	-1348650218238
TPT(14)	2499214995378661421	0 2 30 32 36 38 78 80 96 98 138 140 246 248	-738335429988
SPT(16)	2499215088844043287	0 46 112 124 130 156 160 190 306 336 340 366 372 384 450 496	-644870048122
STPT(10)	2499215707466352827	0 2 30 32 42 44 54 56 84 86	-26247738582
SPT(16)	2499215760535685833	0 6 24 96 126 130 136 144 196 204 210 214 244 316 334 340	26821594424
SPT(18)	2499215930130222971	0 2 6 12 38 42 48 122 210 218 306 380 386 390 416 422 426 428	196416131562
STPT(10)	2499216656164863461	0 2 30 32 78 80 126 128 156 158	922450772052
STPT(10)	2499216785831220149	0 2 30 32 60 62 90 92 120 122	1052117128740
SPT(16)	2499217294715309093	0 8 80 84 156 170 204 206 258 260 294 308 380 384 456 464	1561001217684