Prime p₀= 802071439513073237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 310 2 70 2 208 2 94 2 28 2 208 2 (?)
a_n: 0 2 312 314 384 386 594 596 690 692 720 722 930 932
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: 932
Found by: schoussi
db: batch=73, k=14, 310 70 208 94 28 208

SPT(16)	802070559397621457	0 32 42 72 86 116 132 144 152 164 180 210 224 254 264 296	-880115451780
SPT(16)	802070589467363789	0 48 80 114 122 152 158 200 222 264 270 300 308 342 374 422	-850045709448
TPT(14)	802070614292133521	0 2 18 20 210 212 228 230 240 242 396 398 450 452	-825220939716
SPT(16)	802070853233786023	0 4 10 76 96 180 184 186 208 210 214 298 318 384 390 394	-586279287214
STPT(10)	802071119616083027	0 2 42 44 72 74 102 104 144 146	-319896990210
SPT(16)	802071126520867157	0 14 44 62 66 140 152 170 216 234 246 320 324 342 372 386	-312992206080
SPT(13)	802071973873815761	0 30 90 96 120 138 168 198 216 240 246 306 336	534360742524
SPT(16)	802072111203161611	0 10 16 40 120 126 150 168 178 196 220 226 306 330 336 346	671690088374
STPT(10)	802072145428624121	0 2 6 8 18 20 30 32 36 38	705915550884
TPT(14)	802072900038759071	0 2 90 92 156 158 186 188 216 218 228 230 258 260	1460525685834
SPT(16)	802073427106765783	0 34 48 138 156 160 184 208 246 270 294 298 316 406 420 454	1987593692546