Prime p₀= 1080716612425183247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 58 2 22 2 28 2 16 2 (?)
a_n: 0 2 42 44 90 92 150 152 174 176 204 206 222 224
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: 224
Found by: Theadalus
db: batch=76, k=14, 40 46 58 22 28 16

TPT(14)	1080715513376709149	0 2 42 44 60 62 78 80 90 92 120 122 132 134	-1099048474098
TPT(14)	1080715977416527187	0 2 30 32 114 116 150 152 192 194 282 284 294 296	-635008656060
SPT(16)	1080716117982314267	0 26 44 56 60 102 104 110 186 192 194 236 240 252 270 296	-494442868980
SPT(16)	1080716159681783813	0 26 48 116 126 140 210 224 360 374 444 458 468 536 558 584	-452743399434
SPT(16)	1080716175336810251	0 18 30 66 92 126 150 182 306 338 362 396 422 458 470 488	-437088372996
SPT(16)	1080716207724272341	0 6 10 22 36 46 102 112 126 136 192 202 216 228 232 238	-404700910906
SPT(20)	1080716669392057163	0 114 198 218 266 278 378 390 396 408 476 488 494 506 606 618 666 686 770 884	56966873916
SPT(16)	1080716688108985219	0 4 12 22 28 42 94 174 208 288 340 354 360 370 378 382	75683801972
STPT(10)	1080716744033932307	0 2 30 32 42 44 54 56 84 86	131608749060
SPT(16)	1080716826204060839	0 30 50 84 222 254 348 360 362 374 468 500 638 672 692 722	213778877592
STPT(10)	1080716886375553211	0 2 36 38 78 80 120 122 156 158	273950369964