Prime p₀= 1624576736029096361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 232 2 28 2 16 2 40 2 (?)
a_n: 0 2 78 80 96 98 330 332 360 362 378 380 420 422
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: 422
Found by: biodoc
db: batch=78, k=14, 76 16 232 28 16 40

SPT(18)	1624575602422735757	0 26 54 56 86 90 92 110 174 182 246 264 266 270 300 302 330 356	-1133606360604
SPT(16)	1624576221109792073	0 48 56 90 128 156 188 260 264 336 368 396 434 468 476 524	-514919304288
SPT(16)	1624576328122788169	0 22 24 70 78 100 112 114 148 150 162 184 192 238 240 262	-407906308192
SPT(16)	1624576525358393969	0 8 24 68 104 108 120 134 138 152 164 168 204 248 264 272	-210670702392
STPT(10)	1624576614016986689	0 2 12 14 90 92 168 170 180 182	-122012109672
SPT(16)	1624576688340455077	0 4 12 60 82 90 100 106 180 186 196 204 226 274 282 286	-47688641284
SPT(20)	1624576947261968813	0 14 36 38 44 50 80 114 116 128 156 168 170 204 234 240 246 248 270 284	211232872452
SPT(16)	1624577170845274837	0 22 34 60 70 112 142 144 202 204 234 276 286 312 324 346	434816178476
SPT(16)	1624577265533295727	0 42 52 70 82 90 96 112 120 136 142 150 162 180 190 232	529504199366
STPT(10)	1624577269323842927	0 2 30 32 60 62 90 92 120 122	533294746566
SPT(16)	1624577661715417811	0 2 6 30 36 62 132 182 240 290 360 386 392 416 420 422	925686321450