Prime p₀= 2379001774098023297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 52 2 76 2 16 2 22 2 (?)
a_n: 0 2 42 44 60 62 114 116 192 194 210 212 234 236
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: 236
Found by: [AF] Kalianthys
db: batch=81, k=14, 40 16 52 76 16 22

SPT(16)	2379000298209116801	0 86 98 128 146 150 170 198 200 228 248 252 270 300 312 398	-1475888906496
TPT(14)	2379000397795962929	0 2 60 62 72 74 228 230 240 242 288 290 378 380	-1376302060368
SPT(16)	2379000444818750999	0 2 32 38 50 60 102 108 134 140 182 192 204 210 240 242	-1329279272298
STPT(10)	2379000610801034747	0 2 90 92 102 104 114 116 204 206	-1163296988550
STPT(10)	2379000988734250589	0 2 42 44 60 62 78 80 120 122	-785363772708
STPT(10)	2379001460341123481	0 2 6 8 108 110 210 212 216 218	-313756899816
SPT(16)	2379002257933935913	0 4 24 30 34 48 88 90 154 156 196 210 214 220 240 244	483835912616
SPT(16)	2379002857069797869	0 14 30 74 84 110 120 218 270 368 378 404 414 458 474 488	1082971774572
SPT(16)	2379003449316914249	0 42 44 90 92 102 104 170 174 240 242 252 254 300 302 344	1675218890952
STPT(10)	2379003938525039381	0 2 6 8 48 50 90 92 96 98	2164427016084
STPT(10)	2379004414363410917	0 2 30 32 72 74 114 116 144 146	2640265387620