Prime p₀= 2267235316286518997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 10 2 64 2 28 2 28 2 (?)
a_n: 0 2 12 14 72 74 84 86 150 152 180 182 210 212
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: 212
Found by: Landjunge
db: batch=81, k=14, 10 58 10 64 28 28

SPT(20)	2267233950258687433	0 46 48 136 228 268 270 294 300 304 360 364 370 394 396 436 528 616 618 664	-1366027831564
SPT(16)	2267234022852585029	0 12 92 150 168 222 224 234 248 258 260 314 332 390 470 482	-1293433933968
SPT(16)	2267234109880619899	0 4 34 42 54 70 88 118 174 204 222 238 250 258 288 292	-1206405899098
SPT(18)	2267234363912599241	0 2 12 68 90 96 98 138 158 180 200 240 242 248 270 326 336 338	-952373919756
SPT(16)	2267235071577620923	0 4 34 78 120 130 190 210 238 258 318 328 370 414 444 448	-244708898074
SPT(16)	2267235137139888241	0 72 76 88 96 100 130 138 190 198 228 232 240 252 256 328	-179146630756
SPT(16)	2267235362401052089	0 4 12 82 90 102 114 124 288 298 310 322 330 400 408 412	46114533092
SPT(16)	2267235363743454241	0 12 16 18 36 82 96 126 142 172 186 232 250 252 256 268	47456935244
STPT(10)	2267235660944325059	0 2 18 20 30 32 42 44 60 62	344657806062
STPT(10)	2267235703822011017	0 2 30 32 42 44 54 56 84 86	387535492020
STPT(10)	2267236106078313047	0 2 30 32 42 44 54 56 84 86	789791794050