Prime p₀= 2045598153555619757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 34 2 40 2 28 2 40 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 162 164 204 206
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: 206
Found by: Landjunge
db: batch=80, k=14, 10 40 34 40 28 40

SPT(16)	2045596842528381827	0 6 62 104 174 180 182 200 216 234 236 242 312 354 410 416	-1311027237930
SPT(16)	2045597020260258947	0 30 42 44 96 102 110 144 182 216 224 230 282 284 296 326	-1133295360810
TPT(14)	2045597121733752677	0 2 30 32 114 116 192 194 210 212 360 362 444 446	-1031821867080
SPT(16)	2045597140038330899	0 14 18 30 62 80 104 114 158 168 192 210 242 254 258 272	-1013517288858
SPT(16)	2045597502085122529	0 12 18 40 48 52 102 108 112 118 168 172 180 202 208 220	-651470497228
STPT(10)	2045597664507625367	0 2 60 62 72 74 84 86 144 146	-489047994390
SPT(16)	2045598369214464143	0 6 48 50 66 84 98 114 140 156 170 188 204 206 248 254	215658844386
SPT(16)	2045598456939866249	0 32 54 84 102 122 128 180 182 234 240 260 278 308 330 362	303384246492
TPT(14)	2045598657130020269	0 2 30 32 102 104 132 134 168 170 198 200 258 260	503574400512
SPT(16)	2045598940592213077	0 4 24 40 42 66 82 96 100 114 130 154 156 172 192 196	787036593320
SPT(16)	2045598957521541101	0 8 18 30 38 42 72 80 198 206 236 240 248 260 270 278	803965921344