Prime p₀= 944322852502355021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 130 2 28 2 4 2 88 2 22 2 (?)
a_n: 0 2 48 50 180 182 210 212 216 218 306 308 330 332
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: 332
Found by: HenkM
db: batch=76, k=14, 46 130 28 4 88 22

SPT(16)	944321318678646151	0 28 40 66 88 106 130 132 166 168 192 210 232 258 270 298	-1533823708870
SPT(16)	944321864073613469	0 8 42 48 68 72 78 90 92 104 110 114 134 140 174 182	-988428741552
STPT(10)	944322213470072387	0 2 30 32 42 44 54 56 84 86	-639032282634
STPT(10)	944322356856573197	0 2 24 26 42 44 60 62 84 86	-495645781824
STPT(10)	944322412602900179	0 2 30 32 60 62 90 92 120 122	-439899454842
TPT(14)	944322686682123557	0 2 42 44 54 56 72 74 84 86 132 134 144 146	-165820231464
SPT(16)	944322908384808481	0 6 28 78 96 106 118 126 202 210 222 232 250 300 322 328	55882453460
STPT(10)	944323067024041847	0 2 42 44 102 104 162 164 204 206	214521686826
SPT(16)	944323080061221733	0 10 28 36 60 70 78 88 108 118 126 136 160 168 186 196	227558866712
SPT(16)	944323127620013437	0 4 22 60 64 70 72 106 150 184 186 192 196 234 252 256	275117658416
SPT(16)	944323531082586101	0 12 38 62 90 110 150 210 248 308 348 368 396 420 446 458	678580231080