Prime p₀= 2350112103749884181 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 136 2 28 2 28 2 136 2 (?)
a_n: 0 2 138 140 168 170 198 200 336 338
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: 338
Found by: Vato
db: batch=81, k=10, 2 136 2 28 2

SPT(16)	2350110636868176331	0 42 48 88 130 142 160 210 220 270 288 300 342 382 388 430	-1466881707850
SPT(16)	2350110697181436251	0 32 56 90 96 102 116 138 200 222 236 242 248 282 306 338	-1406568447930
STPT(10)	2350110990090714671	0 2 6 8 18 20 30 32 36 38	-1113659169510
SPT(16)	2350111215951551527	0 76 114 124 132 150 180 192 244 256 286 304 312 322 360 436	-887798332654
SPT(18)	2350111362039534089	0 2 14 72 128 168 194 198 240 302 344 348 374 414 470 528 540 542	-741710350092
SPT(16)	2350111737316330441	0 6 28 42 58 70 88 112 156 180 198 210 226 240 262 268	-366433553740
STPT(10)	2350112342962476611	0 2 30 32 78 80 126 128 156 158	239212592430
SPT(16)	2350112371242616679	0 12 20 44 54 62 80 132 230 282 300 308 318 342 350 362	267492732498
STPT(10)	2350112518290168167	0 2 30 32 42 44 54 56 84 86	414540283986
SPT(16)	2350112539819283683	0 16 54 70 108 136 138 156 178 196 198 226 264 280 318 334	436069399502
STPT(10)	2350113061267049717	0 2 60 62 72 74 84 86 144 146	957517165536