Prime p₀= 1916791585214433227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 58 2 4 2 58 2 10 2 16 2 (?)
a_n: 0 2 84 86 144 146 150 152 210 212 222 224 240 242
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: Landjunge
db: batch=80, k=14, 82 58 4 58 10 16

SPT(16)	1916789727706995839	0 18 20 54 98 102 110 120 122 132 140 144 188 222 224 242	-1857507437388
STPT(10)	1916790184173964901	0 2 6 8 48 50 90 92 96 98	-1401040468326
STPT(10)	1916790314469282797	0 2 30 32 42 44 54 56 84 86	-1270745150430
STPT(10)	1916790705239955227	0 2 42 44 72 74 102 104 144 146	-879974478000
SPT(16)	1916790831154846027	0 30 34 54 64 190 192 240 244 292 294 420 430 450 454 484	-754059587200
TPT(14)	1916791383033733889	0 2 18 20 42 44 72 74 90 92 132 134 138 140	-202180699338
SPT(16)	1916791707982311967	0 16 46 52 60 72 94 102 154 162 184 196 204 210 240 256	122767878740
SPT(16)	1916791813612033487	0 26 30 126 150 156 182 192 194 204 230 236 260 356 360 386	228397600260
SPT(16)	1916792023523464229	0 32 38 62 108 120 140 192 200 252 272 284 330 354 360 392	438309031002
STPT(10)	1916792073005607407	0 2 30 32 42 44 54 56 84 86	487791174180
SPT(16)	1916792125178261033	0 6 30 54 66 114 128 170 174 216 230 278 290 314 338 344	539963827806