Prime p₀= 1235125504982764259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 28 2 10 2 16 2 28 2 22 2 (?)
a_n: 0 2 168 170 198 200 210 212 228 230 258 260 282 284
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, 166 28 10 16 28 22

SPT(16)	1235124270572907511	0 18 46 82 112 130 150 168 220 238 258 276 306 342 370 388	-1234409856748
SPT(16)	1235124696031981973	0 8 14 66 144 210 218 264 290 336 344 410 488 540 546 554	-808950782286
SPT(16)	1235124897397013789	0 14 38 48 62 84 90 92 150 152 158 180 194 204 228 242	-607585750470
TPT(14)	1235124966883181111	0 2 6 8 36 38 138 140 150 152 216 218 306 308	-538099583148
TPT(14)	1235125358361340727	0 2 114 116 150 152 180 182 204 206 240 242 282 284	-146621423532
SPT(16)	1235125363392911323	0 4 40 54 106 186 198 208 246 256 268 348 400 414 450 454	-141589852936
SPT(16)	1235125625443769011	0 10 18 46 52 60 96 102 106 112 148 156 162 190 198 208	120461004752
SPT(16)	1235125713574199861	0 8 18 56 86 102 116 126 152 162 176 192 222 260 270 278	208591435602
STPT(10)	1235125891148430089	0 2 48 50 90 92 132 134 180 182	386165665830
STPT(10)	1235126350182297887	0 2 12 14 42 44 72 74 84 86	845199533628
SPT(16)	1235126367980250139	0 4 42 58 108 142 144 148 324 328 330 364 414 430 468 472	862997485880