Prime p₀= 22417621557400889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 28 2 22 2 34 2 22 2 (?)
a_n: 0 2 78 80 108 110 138 140 162 164 198 200 222 224
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: ChelseaOilman
db: batch=65, k=14, 76 28 28 22 34 22

SPT(14)	22417592510580307	0 6 24 40 42 66 82 174 190 214 216 232 250 256	-29046820582
SPT(14)	22417594354150439	0 12 20 90 104 110 152 162 204 210 224 294 302 314	-27203250450
SPT(14)	22417601870089801	0 46 58 60 72 78 96 232 250 256 268 270 282 328	-19687311088
SPT(14)	22417608898605139	0 10 30 84 94 162 198 274 310 378 388 442 462 472	-12658795750
SPT(14)	22417609105079273	0 18 24 38 50 74 96 98 120 144 156 170 176 194	-12452321616
SPT(14)	22417615402111367	0 36 72 74 102 132 146 210 224 254 282 284 320 356	-6155289522
SPT(16)	22417628565369031	0 10 22 36 66 78 82 100 108 126 130 142 172 186 198 208	7007968142
SPT(14)	22417631900156417	0 12 44 74 114 194 212 222 240 320 360 390 422 434	10342755528
SPT(14)	22417633339850759	0 62 84 90 98 114 170 192 248 264 272 278 300 362	11782449870
TPT(12)	22417645382651549	0 2 60 62 132 134 288 290 420 422 450 452	23825250660
SPT(14)	22417652652645491	0 2 20 36 72 86 92 126 132 146 182 198 216 218	31095244602