Prime p₀= 1638514591876729739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 64 2 58 2 10 2 10 2 (?)
a_n: 0 2 18 20 102 104 168 170 228 230 240 242 252 254
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: 254
Found by: Spectrum
db: batch=78, k=14, 16 82 64 58 10 10

STPT(10)	1638512659390916999	0 2 18 20 30 32 42 44 60 62	-1932485812740
SPT(16)	1638513133336053553	0 60 76 120 168 186 204 208 216 220 238 256 304 348 364 424	-1458540676186
STPT(10)	1638513416712339197	0 2 30 32 60 62 90 92 120 122	-1175164390542
TPT(14)	1638513553801703219	0 2 18 20 42 44 90 92 222 224 240 242 252 254	-1038075026520
SPT(16)	1638513567736600613	0 18 44 60 158 164 170 174 200 204 210 216 314 330 356 374	-1024140129126
SPT(16)	1638514374646707911	0 30 42 48 68 72 96 108 110 122 146 150 170 176 188 218	-217230021828
SPT(16)	1638514708785668771	0 18 30 50 80 98 120 122 156 158 180 198 228 248 260 278	116908939032
STPT(12)	1638514805764371629	0 2 12 14 42 44 48 50 78 80 90 92	213887641890
STPT(10)	1638515207923956911	0 2 6 8 48 50 90 92 96 98	616047227172
SPT(16)	1638515570970998077	0 36 46 52 54 64 66 72 94 100 102 112 114 120 130 166	979094268338
STPT(10)	1638515954586815399	0 2 18 20 30 32 42 44 60 62	1362710085660