Prime p₀= 2712790747475382191 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2712789334501495169	0 42 74 78 128 134 162 188 294 320 348 354 404 408 440 482	-1412973887022
STPT(10)	2712789352264386851	0 2 30 32 78 80 126 128 156 158	-1395210995340
STPT(10)	2712790258184688137	0 2 30 32 42 44 54 56 84 86	-489290694054
SPT(16)	2712790400179013767	0 22 30 34 64 120 162 202 204 244 286 342 372 376 384 406	-347296368424
SPT(16)	2712790587405450967	0 24 52 72 94 100 112 132 172 192 204 210 232 252 280 304	-160069931224
STPT(10)	2712790623111053897	0 2 24 26 42 44 60 62 84 86	-124364328294
TPT(14)	2712791051997641597	0 2 12 14 54 56 162 164 210 212 222 224 342 344	304522259406
STPT(10)	2712791525676903899	0 2 48 50 90 92 132 134 180 182	778201521708
STPT(10)	2712791560745112947	0 2 42 44 72 74 102 104 144 146	813269730756
SPT(16)	2712791693597642221	0 10 12 102 168 180 222 250 258 286 328 340 406 496 498 508	946122260030
SPT(16)	2712791839248918263	0 18 30 48 74 90 104 114 170 180 194 210 236 254 266 284	1091773536072