Prime p₀= 1311752835508942829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: emoga
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1311752111711033221	0 48 88 168 186 190 210 216 232 238 258 262 280 360 400 448	-723797909608
SPT(16)	1311752155103684417	0 12 14 26 62 84 132 144 212 224 272 294 330 342 344 356	-680405258412
STPT(10)	1311752569769663687	0 2 30 32 42 44 54 56 84 86	-265739279142
SPT(16)	1311752638299442901	0 2 8 20 38 42 72 170 210 308 338 342 360 372 378 380	-197209499928
SPT(16)	1311752670895792703	0 14 36 48 50 90 96 134 180 218 224 264 266 278 300 314	-164613150126
SPT(16)	1311752778015185911	0 6 18 30 48 58 82 126 142 186 210 220 238 250 262 268	-57493756918
SPT(16)	1311753158072005213	0 24 28 60 64 66 108 126 148 166 208 210 214 246 250 274	322563062384
STPT(10)	1311753179701295171	0 2 36 38 78 80 120 122 156 158	344192352342
STPT(10)	1311753439350838217	0 2 30 32 42 44 54 56 84 86	603841895388
TPT(14)	1311753678295203371	0 2 18 20 48 50 60 62 96 98 180 182 258 260	842786260542
TPT(14)	1311753708419532647	0 2 252 254 300 302 330 332 360 362 372 374 462 464	872910589818