Prime p₀= 2342320132225762727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 34 2 10 2 16 2 (?)
a_n: 0 2 24 26 54 56 84 86 120 122 132 134 150 152
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: 152
Found by: Landjunge
db: batch=81, k=14, 22 28 28 34 10 16

SPT(13)	2342318543747665409	0 24 54 72 84 90 132 174 180 192 210 240 264	-1588478097318
STPT(10)	2342318841450898769	0 2 18 20 30 32 42 44 60 62	-1290774863958
SPT(16)	2342319077857834037	0 6 14 20 44 50 74 96 134 156 180 186 210 216 224 230	-1054367928690
STPT(10)	2342319588755470991	0 2 6 8 18 20 30 32 36 38	-543470291736
SPT(16)	2342320079489152099	0 10 18 22 72 142 172 184 198 210 240 310 360 364 372 382	-52736610628
STPT(10)	2342320105984574069	0 2 48 50 90 92 132 134 180 182	-26241188658
STPT(10)	2342320670157278651	0 2 36 38 78 80 120 122 156 158	537931515924
SPT(16)	2342320727560036787	0 2 32 56 72 116 120 132 224 236 240 284 300 324 354 356	595334274060
TPT(16)	2342320805052335909	0 2 18 20 72 74 102 104 138 140 180 182 228 230 240 242	672826573182
SPT(16)	2342320811501782187	0 20 32 42 60 90 110 116 216 222 242 272 290 300 312 332	679276019460
TPT(14)	2342320815256096247	0 2 42 44 72 74 102 104 150 152 222 224 240 242	683030333520