Prime p₀= 1116907457449411697 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=76, k=10, 2 22 2 16 2

SPT(16)	1116906494272413157	0 34 40 54 70 76 82 106 150 174 180 186 202 216 222 256	-963176998540
SPT(16)	1116906570177574903	0 4 28 90 174 180 184 198 226 240 244 250 334 396 420 424	-887271836794
SPT(16)	1116906640372611329	0 42 104 180 182 204 222 230 252 260 278 300 302 378 440 482	-817076800368
STPT(10)	1116906685556445599	0 2 12 14 30 32 48 50 60 62	-771892966098
SPT(16)	1116906911603344621	0 22 58 70 78 82 132 148 222 238 288 292 300 312 348 370	-545846067076
STPT(10)	1116907002949409429	0 2 18 20 30 32 42 44 60 62	-454500002268
SPT(16)	1116907553458260503	0 8 18 24 38 56 60 134 150 224 228 246 260 266 276 284	96008848806
STPT(10)	1116907754635723049	0 2 18 20 30 32 42 44 60 62	297186311352
SPT(16)	1116907990356782243	0 8 14 48 90 96 104 146 168 210 218 224 266 300 306 314	532907370546
TPT(14)	1116908075354561381	0 2 6 8 48 50 66 68 90 92 108 110 180 182	617905149684
SPT(16)	1116908311960217503	0 24 60 70 100 138 150 184 390 424 436 474 504 514 550 574	854510805806