Prime p₀= 1467441303000116837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 28 2 64 2 52 2 16 2 (?)
a_n: 0 2 24 26 54 56 84 86 150 152 204 206 222 224
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: 224
Found by: Theadalus
db: batch=78, k=14, 22 28 28 64 52 16

SPT(16)	1467438401732497703	0 6 66 90 110 126 138 150 164 176 188 204 224 248 308 314	-2901267619134
SPT(16)	1467439024531287917	0 2 14 32 96 114 156 236 300 380 422 440 504 522 534 536	-2278468828920
SPT(16)	1467439645376090707	0 6 52 112 142 156 192 202 234 244 280 294 324 384 430 436	-1657624026130
SPT(16)	1467439674711978841	0 12 40 58 108 132 178 196 222 240 286 310 360 378 406 418	-1628288137996
SPT(16)	1467439776028665947	0 30 50 104 126 134 144 156 230 242 252 260 282 336 356 386	-1526971450890
SPT(16)	1467441300600130483	0 4 28 60 66 88 130 150 154 174 216 238 244 276 300 304	-2399986354
STPT(10)	1467441486031697381	0 2 6 8 18 20 30 32 36 38	183031580544
SPT(16)	1467441988280787797	0 26 36 56 102 104 110 116 120 126 132 134 180 200 210 236	685280670960
SPT(13)	1467442242596968531	0 12 48 78 90 108 150 192 210 222 252 288 300	939596851694
STPT(10)	1467442432042535021	0 2 6 8 108 110 210 212 216 218	1129042418184
TPT(14)	1467442603147623131	0 2 30 32 66 68 96 98 150 152 168 170 210 212	1300147506294