Prime p₀= 1038732491643292679 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 16 2 130 2 34 2 52 2 (?)
a_n: 0 2 48 50 102 104 120 122 252 254 288 290 342 344
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: 344
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 46 52 16 130 34 52

SPT(16)	1038731927906704441	0 40 70 76 120 130 160 186 190 216 246 256 300 306 336 376	-563736588238
TPT(14)	1038731943381138239	0 2 48 50 210 212 258 260 270 272 288 290 312 314	-548262154440
SPT(16)	1038732022525276271	0 20 26 48 78 98 156 180 206 230 288 308 338 360 366 386	-469118016408
TPT(14)	1038732109883834321	0 2 18 20 48 50 90 92 156 158 168 170 180 182	-381759458358
STPT(10)	1038732153137049167	0 2 30 32 42 44 54 56 84 86	-338506243512
SPT(16)	1038732186614749421	0 48 116 126 168 176 200 246 410 456 480 488 530 540 608 656	-305028543258
SPT(16)	1038732535735111681	0 10 48 52 78 118 120 126 142 148 150 190 216 220 258 268	44091819002
SPT(16)	1038732658906492241	0 26 60 72 86 102 108 152 186 230 236 252 266 278 312 338	167263199562
SPT(16)	1038732875029043627	0 12 30 86 210 212 234 236 270 272 294 296 420 476 494 506	383385750948
SPT(16)	1038733070108308027	0 6 22 34 90 102 124 126 250 252 274 286 342 354 370 376	578465015348
SPT(16)	1038733114187780797	0 34 36 66 76 84 90 106 114 130 136 144 154 184 186 220	622544488118