Prime p₀= 997767871583442437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 70 2 34 2 40 2 70 2 4 2 (?)
a_n: 0 2 102 104 174 176 210 212 252 254 324 326 330 332
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: 332
Found by: arkiss
db: batch=76, k=14, 100 70 34 40 70 4

SPT(16)	997766134964364947	0 20 32 44 56 60 104 122 174 192 236 240 252 264 276 296	-1736619077490
SPT(16)	997766165052421321	0 30 88 96 112 166 216 222 316 322 372 426 442 450 508 538	-1706531021116
STPT(10)	997766171708820887	0 2 90 92 102 104 114 116 204 206	-1699874621550
STPT(10)	997766345849838707	0 2 42 44 102 104 162 164 204 206	-1525733603730
SPT(16)	997767302512933019	0 8 78 110 158 188 194 228 260 294 300 330 378 410 480 488	-569070509418
SPT(16)	997767614342298629	0 8 18 170 254 260 284 294 338 348 372 378 462 614 624 632	-257241143808
STPT(10)	997767983334633491	0 2 30 32 78 80 126 128 156 158	111751191054
SPT(16)	997768388973090197	0 26 50 80 84 92 144 162 224 242 294 302 306 336 360 386	517389647760
TPT(14)	997768530457524431	0 2 6 8 138 140 210 212 216 218 240 242 348 350	658874081994
SPT(16)	997768571373587327	0 2 26 30 56 72 140 146 150 156 224 240 266 270 294 296	699790144890
TPT(14)	997768574238558971	0 2 168 170 270 272 300 302 378 380 396 398 420 422	702655116534