Prime p₀= 2341431320027771771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 70 2 94 2 112 2 94 2 (?)
a_n: 0 2 18 20 48 50 120 122 216 218 330 332 426 428
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: 428
Found by: Landjunge
db: batch=81, k=14, 16 28 70 94 112 94

STPT(10)	2341428760201316867	0 2 54 56 72 74 90 92 144 146	-2559826454904
STPT(10)	2341428765308905001	0 2 36 38 78 80 120 122 156 158	-2554718866770
SPT(16)	2341428812522056391	0 30 60 68 140 182 192 206 312 326 336 378 450 458 488 518	-2507505715380
SPT(16)	2341429263875946701	0 56 66 80 90 108 140 146 162 168 200 218 228 242 252 308	-2056151825070
STPT(10)	2341429958378285777	0 2 30 32 60 62 90 92 120 122	-1361649485994
STPT(10)	2341431155260810799	0 2 18 20 30 32 42 44 60 62	-164766960972
SPT(16)	2341431397019305081	0 30 46 58 78 88 166 186 190 210 288 298 318 330 346 376	76991533310
SPT(16)	2341431580982768711	0 26 42 56 62 72 120 126 176 182 230 240 246 260 276 302	260954996940
STPT(10)	2341431636063065627	0 2 12 14 72 74 132 134 144 146	316035293856
SPT(16)	2341431693456982283	0 6 24 50 78 84 98 126 128 156 170 176 204 230 248 254	373429210512
SPT(16)	2341431771573442411	0 28 36 40 78 132 136 210 328 402 406 460 498 502 510 538	451545670640