Prime p₀= 1182623166756346361 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 208 2 40 2 28 2 16 2 (?)
a_n: 0 2 90 92 126 128 336 338 378 380 408 410 426 428
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: 428
Found by: xii5ku
db: batch=77, k=14, 88 34 208 40 28 16

SPT(16)	1182621671193409687	0 4 6 42 84 114 136 172 174 210 232 262 304 340 342 346	-1495562936674
TPT(14)	1182621896963910959	0 2 48 50 162 164 180 182 288 290 318 320 330 332	-1269792435402
SPT(13)	1182621970829283247	0 60 72 90 96 126 156 186 216 222 240 252 312	-1195927063114
SPT(16)	1182622683043284389	0 8 54 62 78 92 104 114 158 168 180 194 210 218 264 272	-483713061972
SPT(16)	1182622926589819427	0 30 42 66 126 170 186 206 270 290 306 350 410 434 446 476	-240166526934
TPT(14)	1182623142741902597	0 2 72 74 84 86 150 152 180 182 204 206 240 242	-24014443764
SPT(16)	1182623944972039469	0 78 128 138 162 168 180 182 210 212 224 230 254 264 314 392	778215693108
SPT(16)	1182624610203338461	0 18 42 48 70 96 130 136 162 168 202 228 250 256 280 298	1443446992100
SPT(16)	1182624959796398879	0 18 24 60 62 90 158 192 260 294 362 390 392 428 434 452	1793040052518
SPT(18)	1182626022840600913	0 60 94 130 138 144 148 154 156 178 180 186 190 196 204 240 274 334	2856084254552
STPT(10)	1182626102260049927	0 2 30 32 42 44 54 56 84 86	2935503703566