Prime p₀= 1020245459767937057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 82 2 34 2 10 2 40 2 (?)
a_n: 0 2 54 56 90 92 174 176 210 212 222 224 264 266
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: 266
Found by: Fardringle
db: batch=76, k=14, 52 34 82 34 10 40

SPT(16)	1020244239360517553	0 18 48 50 90 96 114 156 158 200 218 224 264 266 296 314	-1220407419504
STPT(10)	1020244610958566009	0 2 78 80 120 122 162 164 240 242	-848809371048
SPT(16)	1020244689579094339	0 12 22 24 40 42 90 112 132 154 202 204 220 222 232 244	-770188842718
SPT(16)	1020244803016118483	0 30 38 48 90 104 140 144 194 198 234 248 290 300 308 338	-656751818574
STPT(10)	1020244990759317077	0 2 30 32 42 44 54 56 84 86	-469008619980
SPT(20)	1020245198435484223	0 16 34 54 94 108 124 126 174 186 208 220 268 270 286 300 340 360 378 394	-261332452834
STPT(10)	1020245590427306609	0 2 42 44 60 62 78 80 120 122	130659369552
STPT(10)	1020246189131168969	0 2 12 14 30 32 48 50 60 62	729363231912
SPT(16)	1020246252637503467	0 36 42 50 92 144 186 206 270 290 332 384 426 434 440 476	792869566410
SPT(16)	1020246371641180813	0 6 10 28 30 48 84 90 94 100 136 154 156 174 178 184	911873243756
SPT(16)	1020246387633642959	0 14 20 30 80 114 170 174 230 234 290 324 374 384 390 404	927865705902