Prime p₀= 1307269592302967747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: mikey
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1307267588544905111	0 18 38 42 62 80 102 108 242 248 270 288 308 312 332 350	-2003758062636
STPT(10)	1307267861513299877	0 2 42 44 72 74 102 104 144 146	-1730789667870
SPT(16)	1307268155864418257	0 6 90 152 156 174 222 234 272 284 332 350 354 416 500 506	-1436438549490
SPT(16)	1307268691643677783	0 4 48 130 180 208 228 250 264 286 306 334 384 466 510 514	-900659289964
SPT(16)	1307268939004403629	0 18 28 42 52 60 90 108 154 172 202 210 220 234 244 262	-653298564118
SPT(16)	1307269061252688641	0 2 18 20 42 78 92 120 128 156 170 206 228 230 246 248	-531050279106
SPT(16)	1307269699229189383	0 34 84 88 154 204 210 234 340 364 370 420 486 490 540 574	106926221636
SPT(16)	1307270052860701949	0 38 120 132 134 144 174 192 200 218 248 258 260 272 354 392	460557734202
SPT(16)	1307270349832132559	0 14 24 32 42 48 102 104 108 110 164 170 180 188 198 212	757529164812
SPT(16)	1307270526825733487	0 12 20 26 54 66 80 84 92 96 110 122 150 156 164 176	934522765740
STPT(10)	1307271116436925877	0 2 30 32 42 44 54 56 84 86	1524133958130