Prime p₀= 1922618234745390407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 106 2 28 2 16 2 28 2 22 2 (?)
a_n: 0 2 54 56 162 164 192 194 210 212 240 242 264 266
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: 266
Found by: Landjunge
db: batch=80, k=14, 52 106 28 16 28 22

SPT(16)	1922616598094568899	0 20 42 48 68 80 138 158 174 194 252 264 284 290 312 332	-1636650821508
STPT(10)	1922617267886946749	0 2 18 20 30 32 42 44 60 62	-966858443658
SPT(16)	1922617457947910797	0 34 36 42 66 76 132 150 166 184 240 250 274 280 282 316	-776797479610
SPT(16)	1922617779284458721	0 92 108 152 180 182 192 222 278 308 318 320 348 392 408 500	-455460931686
SPT(16)	1922617929682593953	0 6 68 80 96 104 108 138 236 266 270 278 294 306 368 374	-305062796454
STPT(10)	1922618117740243739	0 2 12 14 30 32 48 50 60 62	-117005146668
STPT(10)	1922618261732917631	0 2 36 38 78 80 120 122 156 158	26987527224
SPT(16)	1922619116575201399	0 40 60 124 172 262 264 274 318 328 330 420 468 532 552 592	881829810992
STPT(10)	1922619372671822477	0 2 30 32 102 104 174 176 204 206	1137926432070
TPT(14)	1922619539946714941	0 2 78 80 90 92 96 98 120 122 168 170 180 182	1305201324534
SPT(16)	1922619781737548533	0 30 66 90 96 100 138 156 160 178 216 220 226 250 286 316	1546992158126