Prime p₀= 1033438422593745209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 10 2 70 2 4 2 10 2 (?)
a_n: 0 2 30 32 138 140 150 152 222 224 228 230 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 28 106 10 70 4 10

TPT(14)	1033436414822782457	0 2 12 14 42 44 54 56 84 86 114 116 180 182	-2007770962752
SPT(16)	1033436493850071191	0 6 48 56 60 110 138 158 180 200 228 278 282 290 332 338	-1928743674018
SPT(16)	1033436820776155007	0 6 42 50 62 84 122 132 164 174 212 234 246 254 290 296	-1601817590202
SPT(16)	1033437112608014327	0 24 50 72 114 132 162 176 210 224 254 272 314 336 362 386	-1309985730882
SPT(16)	1033437541069825139	0 14 50 114 128 140 198 210 248 260 318 330 344 408 444 458	-881523920070
STPT(10)	1033438218633828989	0 2 18 20 60 62 102 104 120 122	-203959916220
SPT(16)	1033439112011891617	0 16 30 40 60 90 102 106 180 184 196 226 246 256 270 286	689418146408
SPT(16)	1033439122626888689	0 12 18 50 60 78 90 92 108 110 122 140 150 182 188 200	700033143480
SPT(16)	1033439175128810753	0 36 44 78 90 114 134 164 210 240 260 284 296 330 338 374	752535065544
SPT(16)	1033439238214878167	0 14 26 30 36 66 74 92 144 162 170 200 206 210 222 236	815621132958
SPT(16)	1033439579194720289	0 8 44 54 62 74 78 92 180 194 198 210 218 228 264 272	1156600975080