Prime p₀= 1249207754790310421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 70 2 10 2 118 2 34 2 88 2 (?)
a_n: 0 2 36 38 108 110 120 122 240 242 276 278 366 368
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: 368
Found by: xii5ku
db: batch=77, k=14, 34 70 10 118 34 88

SPT(16)	1249206525255108521	0 8 12 50 78 98 126 168 230 272 300 320 348 386 390 398	-1229535201900
SPT(16)	1249206884801353459	0 4 22 24 34 94 130 132 172 174 210 270 280 282 300 304	-869988956962
SPT(16)	1249206972434204083	0 28 46 60 76 114 178 180 214 216 280 318 334 348 366 394	-782356106338
STPT(10)	1249207165952493101	0 2 6 8 48 50 90 92 96 98	-588837817320
SPT(16)	1249207496968759127	0 24 60 86 134 140 144 170 246 272 276 282 330 356 392 416	-257821551294
STPT(10)	1249207643037801659	0 2 42 44 60 62 78 80 120 122	-111752508762
SPT(16)	1249207932985951637	0 26 32 44 86 90 102 144 152 194 206 210 252 264 270 296	178195641216
SPT(16)	1249208089066165663	0 4 58 108 136 138 154 156 178 180 196 198 226 276 330 334	334275855242
SPT(16)	1249208579718940879	0 30 34 42 58 64 70 108 124 162 168 174 190 198 202 232	824928630458
SPT(16)	1249209137444243483	0 6 18 36 48 78 104 138 176 210 236 266 278 296 308 314	1382653933062
SPT(16)	1249209178478864089	0 12 48 70 84 90 112 154 168 210 232 238 252 274 310 322	1423688553668