Prime p₀= 1514206430158866131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 178 2 28 2 10 2 40 2 16 2 (?)
a_n: 0 2 6 8 186 188 216 218 228 230 270 272 288 290
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: 290
Found by: biodoc
db: batch=78, k=14, 4 178 28 10 40 16

SPT(16)	1514205847400580319	0 18 30 58 82 88 142 144 238 240 294 300 324 352 364 382	-582758285812
STPT(10)	1514205886783254827	0 2 30 32 42 44 54 56 84 86	-543375611304
STPT(10)	1514205995614405241	0 2 30 32 78 80 126 128 156 158	-434544460890
SPT(18)	1514206037092584973	0 4 16 90 114 144 174 180 208 246 274 280 310 340 364 438 450 454	-393066281158
TPT(14)	1514206049108671349	0 2 30 32 60 62 138 140 210 212 222 224 228 230	-381050194782
SPT(16)	1514206374248789323	0 4 6 34 36 48 90 154 180 244 286 298 300 328 330 334	-55910076808
SPT(16)	1514206464383520863	0 14 30 54 60 74 90 114 116 140 156 170 176 200 216 230	34224654732
STPT(10)	1514206538961927869	0 2 42 44 60 62 78 80 120 122	108803061738
STPT(10)	1514206673434263671	0 2 36 38 78 80 120 122 156 158	243275397540
SPT(16)	1514206744571960449	0 22 28 58 84 160 162 168 184 190 192 268 294 324 330 352	314413094318
STPT(10)	1514206798198315937	0 2 60 62 72 74 84 86 144 146	368039449806