Prime p₀= 2135965252846445261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 4 2 52 2 16 2 10 2 (?)
a_n: 0 2 36 38 90 92 96 98 150 152 168 170 180 182
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: 182
Found by: Coleslaw
db: batch=80, k=14, 34 52 4 52 16 10

SPT(16)	2135963696960080067	0 36 44 62 80 92 122 146 150 174 204 216 234 252 260 296	-1555886365194
STPT(12)	2135964086354795867	0 2 42 44 60 62 84 86 102 104 144 146	-1166491649394
STPT(10)	2135964849172144811	0 2 6 8 18 20 30 32 36 38	-403674300450
SPT(16)	2135964919897431923	0 26 86 114 138 180 188 240 254 306 314 356 380 408 468 494	-332949013338
STPT(10)	2135965167699545069	0 2 18 20 30 32 42 44 60 62	-85146900192
SPT(16)	2135965178758727023	0 10 58 66 78 94 130 138 196 204 240 256 268 276 324 334	-74087718238
SPT(16)	2135965809985282621	0 16 40 76 82 100 106 132 190 216 222 240 246 282 306 322	557138837360
SPT(18)	2135966025513347117	0 2 32 54 72 102 104 110 116 180 186 192 194 224 242 264 294 296	772666901856
SPT(16)	2135966240367762353	0 18 26 74 78 96 140 200 204 264 308 326 330 378 386 404	987521317092
TPT(14)	2135966435280559151	0 2 30 32 48 50 90 92 138 140 180 182 186 188	1182434113890
SPT(16)	2135966765332950617	0 2 60 140 156 162 174 260 306 392 404 410 426 506 564 566	1512486505356