Prime p₀= 2938400652038061191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 28 2 10 2 4 2 28 2 (?)
a_n: 0 2 60 62 168 170 198 200 210 212 216 218 246 248
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: 248
Found by: Landjunge
db: batch=82, k=14, 58 106 28 10 4 28

TPT(14)	2938399294239785471	0 2 60 62 96 98 186 188 198 200 258 260 270 272	-1357798275720
SPT(16)	2938399410313045673	0 8 36 44 78 86 96 98 276 278 288 296 330 338 366 374	-1241725015518
SPT(16)	2938399646802998897	0 56 84 122 126 134 182 210 236 264 312 320 324 362 390 446	-1005235062294
SPT(16)	2938400293410259109	0 42 60 78 90 98 104 108 134 138 144 152 164 182 200 242	-358627802082
SPT(16)	2938400382148263611	0 38 42 80 108 132 150 168 200 218 236 260 288 326 330 368	-269889797580
TPT(14)	2938400626662555497	0 2 84 86 312 314 414 416 450 452 510 512 540 542	-25375505694
SPT(16)	2938400926725071777	0 30 36 56 90 104 116 126 134 144 156 170 204 224 230 260	274687010586
SPT(16)	2938400937727189523	0 24 26 108 114 120 128 194 210 276 284 290 296 378 380 404	285689128332
TPT(14)	2938401092977539599	0 2 18 20 60 62 90 92 198 200 210 212 222 224	440939478408
STPT(10)	2938401115791744917	0 2 30 32 42 44 54 56 84 86	463753683726
SPT(16)	2938401256389597631	0 58 66 70 132 136 178 202 216 240 282 286 348 352 360 418	604351536440