Prime p₀= 2664523300426308749 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 82 2 4 2 40 2 46 2 58 2 (?)
a_n: 0 2 108 110 192 194 198 200 240 242 288 290 348 350
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: 350
Found by: RFGuy_KCCO
db: batch=82, k=14, 106 82 4 40 46 58

SPT(16)	2664522376788951713	0 14 24 48 66 86 90 108 206 224 228 248 266 290 300 314	-923637357036
SPT(16)	2664522619479049411	0 36 42 166 192 208 228 250 258 280 300 316 342 466 472 508	-680947259338
SPT(16)	2664522735024039979	0 24 40 84 112 150 168 178 204 214 232 270 298 342 358 382	-565402268770
SPT(16)	2664522812587887749	0 14 68 98 120 158 198 210 212 224 264 302 324 354 408 422	-487838421000
SPT(16)	2664522836669979217	0 10 30 52 60 136 142 162 184 204 210 286 294 316 336 346	-463756329532
STPT(10)	2664522851484959279	0 2 12 14 90 92 168 170 180 182	-448941349470
SPT(16)	2664523726114135229	0 38 60 78 92 122 144 180 182 218 240 270 284 302 324 362	425687826480
SPT(16)	2664523780032576953	0 36 84 138 150 168 176 186 218 228 236 254 266 320 368 404	479606268204
STPT(10)	2664524226756981497	0 2 30 32 42 44 54 56 84 86	926330672748
SPT(16)	2664524373243237761	0 6 36 42 116 120 168 170 258 260 308 312 386 392 422 428	1072816929012
SPT(16)	2664524784640475831	0 6 8 12 20 48 72 78 320 326 350 378 386 390 392 398	1484214167082