Prime p₀= 2212594477152203867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 22 2 28 2 124 2 28 2 10 2 (?)
a_n: 0 2 60 62 84 86 114 116 240 242 270 272 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 58 22 28 124 28 10

SPT(16)	2212592957697576547	0 10 42 84 112 114 130 136 150 156 172 174 202 244 276 286	-1519454627320
SPT(16)	2212593157494209531	0 20 60 90 110 116 126 138 188 200 210 216 236 266 306 326	-1319657994336
SPT(16)	2212593389240570267	0 60 74 110 144 162 176 192 194 210 224 242 276 312 326 386	-1087911633600
TPT(14)	2212593489853359731	0 2 30 32 66 68 96 98 138 140 150 152 186 188	-987298844136
SPT(13)	2212593499194999413	0 54 96 120 126 150 180 210 234 240 264 306 360	-977957204454
SPT(16)	2212593765720699887	0 30 42 56 86 92 114 164 252 302 324 330 360 374 386 416	-711431503980
STPT(10)	2212594866991823219	0 2 12 14 90 92 168 170 180 182	389839619352
SPT(16)	2212595656477132811	0 62 66 80 86 92 110 146 156 192 210 216 222 236 240 302	1179324928944
SPT(16)	2212595699251161641	0 2 18 30 32 50 60 102 296 338 348 366 368 380 396 398	1222098957774
STPT(10)	2212596014134182959	0 2 18 20 60 62 102 104 120 122	1536981979092
SPT(16)	2212596841909262933	0 20 48 98 108 116 126 138 146 158 168 176 186 236 264 284	2364757059066