Prime p₀= 3091331687134763999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: suriv
db: batch=83, k=10, 2 10 2 76 2

SPT(16)	3091329911181051541	0 40 60 88 102 162 178 192 226 240 256 316 330 358 378 418	-1775953712458
STPT(10)	3091330094778536621	0 2 6 8 48 50 90 92 96 98	-1592356227378
SPT(16)	3091330187178826709	0 18 20 30 68 98 132 210 230 308 342 372 410 420 422 440	-1499955937290
STPT(10)	3091330847587534547	0 2 30 32 72 74 114 116 144 146	-839547229452
SPT(16)	3091330895839059403	0 10 28 34 36 60 76 88 126 138 154 178 180 186 204 214	-791295704596
STPT(10)	3091331357894382917	0 2 30 32 72 74 114 116 144 146	-329240381082
TPT(14)	3091332004801797011	0 2 48 50 66 68 78 80 138 140 180 182 246 248	317667033012
STPT(10)	3091333288124601341	0 2 6 8 48 50 90 92 96 98	1600989837342
STPT(10)	3091333881137813357	0 2 54 56 72 74 90 92 144 146	2194003049358
STPT(10)	3091333982186680331	0 2 6 8 48 50 90 92 96 98	2295051916332
SPT(16)	3091334286752193269	0 8 68 84 98 134 194 198 284 288 348 384 398 414 474 482	2599617429270