Prime p₀= 2022390853371288557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 178 2 106 2 52 2 4 2 22 2 (?)
a_n: 0 2 42 44 222 224 330 332 384 386 390 392 414 416
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: 416
Found by: Orange Kid
db: batch=80, k=14, 40 178 106 52 4 22

SPT(16)	2022389083774762579	0 22 52 64 70 78 84 118 144 178 184 192 198 210 240 262	-1769596525978
STPT(10)	2022389519104764749	0 2 18 20 30 32 42 44 60 62	-1334266523808
TPT(14)	2022389726912901557	0 2 24 26 30 32 54 56 162 164 222 224 264 266	-1126458387000
SPT(16)	2022390035662449067	0 6 54 76 90 150 156 180 196 220 226 286 300 322 370 376	-817708839490
SPT(16)	2022390377187902153	0 38 138 144 176 204 234 246 248 260 290 318 350 356 456 494	-476183386404
SPT(16)	2022390669241508497	0 52 64 66 84 154 166 172 204 210 222 292 310 312 324 376	-184129780060
STPT(10)	2022390972849376397	0 2 90 92 102 104 114 116 204 206	119478087840
SPT(16)	2022391040396204531	0 18 56 78 120 146 152 180 308 336 342 368 410 432 470 488	187024915974
SPT(16)	2022391061463987547	0 12 34 54 60 100 132 142 312 322 354 394 400 420 442 454	208092698990
STPT(10)	2022391168799192249	0 2 42 44 60 62 78 80 120 122	315427903692
SPT(16)	2022391206611391169	0 4 12 24 30 52 114 124 198 208 270 292 298 310 318 322	353240102612