Prime p₀= 1245290654248922651 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 118 2 130 2 28 2 10 2 (?)
a_n: 0 2 30 32 66 68 186 188 318 320 348 350 360 362
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: 362
Found by: Theadalus
db: batch=77, k=14, 28 34 118 130 28 10

SPT(16)	1245289821272937031	0 22 72 78 102 118 148 190 210 252 282 298 322 328 378 400	-832975985620
STPT(10)	1245289844089121009	0 2 48 50 90 92 132 134 180 182	-810159801642
STPT(10)	1245290218891804331	0 2 36 38 78 80 120 122 156 158	-435357118320
TPT(14)	1245290423822384747	0 2 12 14 54 56 90 92 150 152 222 224 264 266	-230426537904
TPT(14)	1245290425851669467	0 2 114 116 132 134 174 176 180 182 270 272 282 284	-228397253184
SPT(16)	1245290534032890721	0 10 22 48 52 78 90 112 126 148 160 186 190 216 228 238	-120216031930
SPT(16)	1245290798966405957	0 30 84 110 140 204 216 234 236 254 266 330 360 386 440 470	144717483306
SPT(16)	1245291334338921313	0 70 78 148 160 166 168 250 276 358 360 366 378 448 456 526	680089998662
STPT(10)	1245291340320295859	0 2 42 44 90 92 138 140 180 182	686071373208
STPT(10)	1245291563828743547	0 2 30 32 42 44 54 56 84 86	909579820896
SPT(16)	1245291688684094437	0 24 52 96 100 124 154 162 184 192 222 246 250 294 322 346	1034435171786