Prime p₀= 2118057555190636097 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 208 2 28 2 10 2 46 2 (?)
a_n: 0 2 54 56 120 122 330 332 360 362 372 374 420 422
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: 422
Found by: Landjunge
db: batch=80, k=14, 52 64 208 28 10 46

SPT(16)	2118055808841624791	0 2 12 20 80 122 138 150 188 200 216 258 318 326 336 338	-1746349011306
SPT(16)	2118055884307329787	0 64 66 90 150 160 196 214 216 234 270 280 340 364 366 430	-1670883306310
SPT(16)	2118056540285928637	0 30 42 66 82 96 132 136 180 184 220 234 250 274 286 316	-1014904707460
STPT(10)	2118056599153559717	0 2 42 44 72 74 102 104 144 146	-956037076380
STPT(10)	2118056903269502969	0 2 48 50 90 92 132 134 180 182	-651921133128
STPT(10)	2118057389403894941	0 2 30 32 60 62 90 92 120 122	-165786741156
SPT(16)	2118057637711503797	0 12 122 140 152 194 210 290 306 386 402 444 456 474 584 596	82520867700
STPT(10)	2118057661587587771	0 2 6 8 18 20 30 32 36 38	106396951674
SPT(16)	2118057863000747357	0 32 44 60 74 92 110 152 162 204 222 240 254 270 282 314	307810111260
STPT(10)	2118059403675234977	0 2 24 26 42 44 60 62 84 86	1848484598880
SPT(16)	2118059728347953771	0 2 30 36 42 50 68 108 110 150 168 176 182 188 216 218	2173157317674