Prime p₀= 747494272776573389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 136 2 136 2 52 2 46 2 (?)
a_n: 0 2 90 92 132 134 270 272 408 410 462 464 510 512
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: 512
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 88 40 136 136 52 46

SPT(16)	747492321946903657	0 12 22 24 70 94 106 126 160 180 192 216 262 264 274 286	-1950829669732
STPT(10)	747492652449233309	0 2 12 14 90 92 168 170 180 182	-1620327340080
SPT(16)	747493185098147359	0 34 48 100 102 130 174 202 210 238 282 310 312 364 378 412	-1087678426030
STPT(10)	747493888895522267	0 2 72 74 102 104 132 134 204 206	-383881051122
SPT(16)	747494045752128737	0 30 32 56 90 132 200 212 294 306 374 416 450 474 476 506	-227024444652
SPT(16)	747494086447306013	0 44 56 60 98 134 144 156 158 170 180 216 254 258 270 314	-186329267376
STPT(10)	747494306798424761	0 2 36 38 78 80 120 122 156 158	34021851372
STPT(10)	747494649978637679	0 2 18 20 30 32 42 44 60 62	377202064290
TPT(14)	747494802047862899	0 2 42 44 132 134 162 164 198 200 252 254 312 314	529271289510
SPT(16)	747494804659489079	0 14 20 32 84 140 144 180 182 218 222 278 330 342 348 362	531882915690
SPT(16)	747494829752482697	0 6 14 54 96 110 144 146 174 176 210 224 266 306 314 320	556975909308