Prime p₀= 1923303462751840151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 28 2 70 2 34 2 52 2 34 2 (?)
a_n: 0 2 108 110 138 140 210 212 246 248 300 302 336 338
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: 338
Found by: Landjunge
db: batch=80, k=14, 106 28 70 34 52 34

SPT(16)	1923302542116575929	0 24 28 40 78 144 162 180 262 280 298 364 402 414 418 442	-920635264222
STPT(10)	1923302783821392287	0 2 12 14 42 44 72 74 84 86	-678930447864
SPT(16)	1923302862226687547	0 6 42 50 62 132 144 176 210 242 254 324 336 344 380 386	-600525152604
STPT(10)	1923302970468558947	0 2 90 92 102 104 114 116 204 206	-492283281204
SPT(16)	1923303061533560719	0 42 94 112 124 214 220 234 250 264 270 360 372 390 442 484	-401218279432
STPT(10)	1923303195047617049	0 2 18 20 30 32 42 44 60 62	-267704223102
SPT(16)	1923303499652811937	0 30 52 64 82 96 154 156 190 192 250 264 282 294 316 346	36900971786
STPT(10)	1923304034613880019	0 2 12 14 90 92 168 170 180 182	571862039868
TPT(14)	1923304998622154879	0 2 30 32 138 140 180 182 198 200 240 242 252 254	1535870314728
TPT(14)	1923305279249849189	0 2 48 50 60 62 90 92 162 164 168 170 258 260	1816498009038
SPT(16)	1923305731399785041	0 12 30 50 56 78 110 122 156 168 200 222 228 248 266 278	2268647944890