Prime p₀= 1571170672746397199 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 70 2 4 2 40 2 40 2 4 2 70 2 (?)
a_n: 0 2 72 74 78 80 120 122 162 164 168 170 240 242
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 242
Found by: Theadalus
db: batch=78, k=14, 2 70 2 4 2 40 2

SPT(16)	1571168976984957983	0 36 68 90 114 120 140 146 198 204 224 230 254 276 308 344	-1695761439216
TPT(14)	1571169118570310261	0 2 30 32 36 38 78 80 90 92 120 122 186 188	-1554176086938
SPT(16)	1571169540641495659	0 78 112 142 190 208 282 382 408 508 582 600 648 678 712 790	-1132104901540
STPT(10)	1571169561347275847	0 2 24 26 42 44 60 62 84 86	-1111399121352
TPT(14)	1571169867715762757	0 2 42 44 84 86 102 104 120 122 132 134 144 146	-805030634442
SPT(16)	1571169922692462353	0 20 30 56 84 140 150 156 158 164 174 230 258 284 294 314	-750053934846
TPT(14)	1571170672746397199	0 2 72 74 78 80 120 122 162 164 168 170 240 242	0
STPT(10)	1571171229709073957	0 2 30 32 42 44 54 56 84 86	556962676758
SPT(16)	1571171334957553333	0 34 46 54 58 90 96 120 124 148 154 186 190 198 210 244	662211156134
TPT(14)	1571171721958390157	0 2 72 74 144 146 180 182 210 212 282 284 300 302	1049211992958
STPT(10)	1571172211973668061	0 2 6 8 18 20 30 32 36 38	1539227270862