Prime p₀= 981412413649792097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 58 2 268 2 118 2 10 2 (?)
a_n: 0 2 42 44 120 122 180 182 450 452 570 572 582 584
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: 584
Found by: stoneageman
db: batch=76, k=14, 40 76 58 268 118 10

SPT(16)	981411706456811023	0 18 28 36 76 84 120 226 258 364 400 408 448 456 466 484	-707192981074
STPT(10)	981411952050172829	0 2 18 20 30 32 42 44 60 62	-461599619268
SPT(16)	981411991426864909	0 22 58 94 108 120 142 190 192 240 262 274 288 324 360 382	-422222927188
STPT(10)	981412076805029027	0 2 54 56 72 74 90 92 144 146	-336844763070
SPT(16)	981412110789996653	0 8 20 26 96 98 104 120 164 180 186 188 258 264 276 284	-302859795444
TPT(14)	981412385824199237	0 2 54 56 60 62 150 152 210 212 240 242 252 254	-27825592860
SPT(16)	981412499665568419	0 4 18 22 42 52 64 70 102 108 120 130 150 154 168 172	86015776322
SPT(16)	981412520082665611	0 12 30 52 90 166 180 198 220 238 252 328 366 388 406 418	106432873514
STPT(10)	981412676852227547	0 2 12 14 72 74 132 134 144 146	263202435450
TPT(14)	981412708409008061	0 2 30 32 90 92 168 170 180 182 198 200 348 350	294759215964
STPT(10)	981412727672822981	0 2 6 8 48 50 90 92 96 98	314023030884