Prime p₀= 3091607399155894037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: UrsD
db: batch=83, k=10, 2 10 2 28 2

STPT(12)	3091605826304214977	0 2 30 32 42 44 90 92 102 104 132 134	-1572851679060
STPT(10)	3091605983727947591	0 2 6 8 48 50 90 92 96 98	-1415427946446
SPT(16)	3091606071506594179	0 4 18 40 52 72 114 130 222 238 280 300 312 334 348 352	-1327649299858
SPT(16)	3091606576088374661	0 36 56 98 128 146 182 198 260 276 312 330 360 402 422 458	-823067519376
STPT(10)	3091606665530483291	0 2 36 38 78 80 120 122 156 158	-733625410746
SPT(16)	3091607071923003461	0 6 32 48 60 90 92 102 146 156 158 188 200 216 242 248	-327232890576
STPT(10)	3091608244233825257	0 2 30 32 42 44 54 56 84 86	845077931220
STPT(10)	3091608375645020909	0 2 18 20 30 32 42 44 60 62	976489126872
SPT(16)	3091608382058539043	0 44 50 68 74 78 120 134 204 218 260 264 270 288 294 338	982902645006
TPT(14)	3091608744081549299	0 2 18 20 60 62 180 182 210 212 282 284 312 314	1344925655262
STPT(10)	3091608993294113837	0 2 30 32 42 44 54 56 84 86	1594138219800