Prime p₀= 1235125358361340727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 34 2 28 2 22 2 34 2 40 2 (?)
a_n: 0 2 114 116 150 152 180 182 204 206 240 242 282 284
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: 284
Found by: stoneageman
db: batch=77, k=14, 112 34 28 22 34 40

STPT(10)	1235123749358827577	0 2 30 32 42 44 54 56 84 86	-1609002513150
SPT(16)	1235123969691831259	0 34 42 88 108 118 150 160 222 232 264 274 294 340 348 382	-1388669509468
SPT(16)	1235124270572907511	0 18 46 82 112 130 150 168 220 238 258 276 306 342 370 388	-1087788433216
SPT(16)	1235124696031981973	0 8 14 66 144 210 218 264 290 336 344 410 488 540 546 554	-662329358754
SPT(16)	1235124897397013789	0 14 38 48 62 84 90 92 150 152 158 180 194 204 228 242	-460964326938
TPT(14)	1235124966883181111	0 2 6 8 36 38 138 140 150 152 216 218 306 308	-391478159616
SPT(16)	1235125363392911323	0 4 40 54 106 186 198 208 246 256 268 348 400 414 450 454	5031570596
TPT(14)	1235125504982764259	0 2 168 170 198 200 210 212 228 230 258 260 282 284	146621423532
SPT(16)	1235125625443769011	0 10 18 46 52 60 96 102 106 112 148 156 162 190 198 208	267082428284
SPT(16)	1235125713574199861	0 8 18 56 86 102 116 126 152 162 176 192 222 260 270 278	355212859134
STPT(10)	1235125891148430089	0 2 48 50 90 92 132 134 180 182	532787089362