Prime p₀= 2258901745503019577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 88 2 76 2 10 2 16 2 112 2 (?)
a_n: 0 2 72 74 162 164 240 242 252 254 270 272 384 386
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: 386
Found by: Orange Kid
db: batch=81, k=14, 70 88 76 10 16 112

STPT(10)	2258900145603369767	0 2 30 32 102 104 174 176 204 206	-1599899649810
STPT(10)	2258900358986264141	0 2 36 38 78 80 120 122 156 158	-1386516755436
SPT(16)	2258900360091447131	0 26 30 36 42 56 78 122 126 170 192 206 212 218 222 248	-1385411572446
SPT(16)	2258900550020864461	0 10 66 76 96 112 118 138 160 180 186 202 222 232 288 298	-1195482155116
SPT(18)	2258901340683580081	0 40 46 48 82 90 100 102 132 136 166 168 178 186 220 222 228 268	-404819439496
SPT(16)	2258901546730029829	0 4 34 60 64 70 78 82 90 94 102 108 112 138 168 172	-198772989748
TPT(14)	2258902113323149559	0 2 12 14 18 20 42 44 192 194 198 200 222 224	367820129982
TPT(14)	2258902678798900637	0 2 42 44 114 116 150 152 252 254 282 284 360 362	933295881060
STPT(10)	2258903025426757481	0 2 30 32 78 80 126 128 156 158	1279923737904
SPT(16)	2258903378269200151	0 46 82 112 126 136 192 228 250 286 342 352 366 396 432 478	1632766180574
STPT(10)	2258903609279821319	0 2 12 14 30 32 48 50 60 62	1863776801742