Prime p₀= 1910032201928454377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 40 2 64 2 88 2 10 2 70 2 (?)
a_n: 0 2 102 104 144 146 210 212 300 302 312 314 384 386
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: 386
Found by: Landjunge
db: batch=80, k=14, 100 40 64 88 10 70

SPT(16)	1910031038091864013	0 76 88 96 130 148 208 214 330 336 396 414 448 456 468 544	-1163836590364
SPT(16)	1910031168455496133	0 36 40 64 66 84 90 108 136 154 160 178 180 204 208 244	-1033472958244
SPT(16)	1910031335844585067	0 4 6 36 66 100 136 142 204 210 246 280 310 340 342 346	-866083869310
STPT(12)	1910031497984148557	0 2 42 44 72 74 270 272 300 302 342 344	-703944305820
SPT(16)	1910031530503694057	0 42 50 74 80 84 102 104 120 122 140 144 150 174 182 224	-671424760320
SPT(16)	1910032120761579083	0 26 44 78 126 188 194 216 218 240 246 308 356 390 408 434	-81166875294
SPT(16)	1910032384247844161	0 2 8 30 42 132 162 188 240 266 296 386 398 420 426 428	182319389784
SPT(16)	1910032600467742523	0 44 48 66 90 114 174 188 276 290 350 374 398 416 420 464	398539288146
SPT(16)	1910032717414542257	0 14 26 32 62 66 110 162 164 216 260 264 294 300 312 326	515486087880
SPT(16)	1910032763371825349	0 20 24 54 60 74 78 80 162 164 168 182 188 218 222 242	561443370972
STPT(10)	1910033419187266991	0 2 36 38 78 80 120 122 156 158	1217258812614