Prime p₀= 857913328425563951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 34 2 58 2 22 2 34 2 (?)
a_n: 0 2 78 80 90 92 126 128 186 188 210 212 246 248
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: 248
Found by: Rhodan71
db: batch=73, k=14, 76 10 34 58 22 34

SPT(16)	857912743056020453	0 14 90 96 114 116 146 156 158 168 198 200 218 224 300 314	-585369543498
STPT(10)	857912779473385541	0 2 6 8 48 50 90 92 96 98	-548952178410
SPT(16)	857912882743132661	0 2 8 18 20 42 86 92 96 102 146 168 170 180 186 188	-445682431290
STPT(10)	857913033342114707	0 2 60 62 72 74 84 86 144 146	-295083449244
TPT(14)	857913062313534107	0 2 192 194 210 212 240 242 324 326 462 464 522 524	-266112029844
STPT(10)	857913076174695389	0 2 30 32 60 62 90 92 120 122	-252250868562
SPT(16)	857913419902054913	0 14 18 20 24 56 90 108 116 134 168 200 204 206 210 224	91476490962
SPT(16)	857913540982796629	0 28 30 84 88 100 102 108 154 160 162 174 178 232 234 262	212557232678
SPT(16)	857913848891168947	0 70 96 100 114 120 150 184 216 250 280 286 300 304 330 400	520465604996
SPT(16)	857913851131237337	0 12 30 50 62 84 90 132 134 176 182 204 216 236 254 266	522705673386
STPT(10)	857914129910268017	0 2 30 32 72 74 114 116 144 146	801484704066