Prime p₀= 1524421123310951309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 10 2 16 2 22 2 166 2 (?)
a_n: 0 2 12 14 78 80 90 92 108 110 132 134 300 302
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: 302
Found by: crashtech
db: batch=78, k=14, 10 64 10 16 22 166

SPT(16)	1524419707729069531	0 6 22 76 100 120 136 178 210 252 268 288 312 366 382 388	-1415581881778
STPT(10)	1524420033048909221	0 2 36 38 78 80 120 122 156 158	-1090262042088
STPT(10)	1524420256871572937	0 2 30 32 60 62 90 92 120 122	-866439378372
STPT(10)	1524420278087317571	0 2 36 38 78 80 120 122 156 158	-845223633738
STPT(10)	1524420620104173809	0 2 42 44 90 92 138 140 180 182	-503206777500
TPT(14)	1524420683712200927	0 2 90 92 102 104 132 134 144 146 312 314 330 332	-439598750382
STPT(10)	1524421315454000399	0 2 42 44 60 62 78 80 120 122	192143049090
STPT(12)	1524421458921918287	0 2 12 14 54 56 210 212 252 254 264 266	335610966978
SPT(16)	1524421767235453819	0 24 42 52 102 108 144 148 174 178 214 220 270 280 298 322	643924502510
STPT(10)	1524421819832768609	0 2 18 20 30 32 42 44 60 62	696521817300
SPT(16)	1524422299268933371	0 52 72 76 82 138 168 186 292 310 340 396 402 406 426 478	1175957982062