Prime p₀= 2600420101320090947 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 10 2 16 2 10 2 34 2 (?)
a_n: 0 2 102 104 132 134 144 146 162 164 174 176 210 212
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: 212
Found by: [SG-FC] hl
db: batch=82, k=14, 100 28 10 16 10 34

SPT(16)	2600418929386412963	0 8 54 78 80 86 134 164 210 240 288 294 296 320 366 374	-1171933677984
STPT(10)	2600418994021535471	0 2 36 38 78 80 120 122 156 158	-1107298555476
SPT(16)	2600419373710766813	0 14 66 90 104 204 234 240 260 266 296 396 410 434 486 500	-727609324134
SPT(16)	2600419439068205681	0 50 66 72 86 122 150 188 240 278 306 342 356 362 378 428	-662251885266
SPT(16)	2600419548889288519	0 52 70 94 150 154 172 184 198 210 228 232 288 312 330 382	-552430802428
TPT(14)	2600419576240549199	0 2 12 14 78 80 108 110 120 122 168 170 180 182	-525079541748
SPT(16)	2600420104334690063	0 56 66 104 110 116 144 164 210 230 258 264 270 308 318 374	3014599116
STPT(10)	2600420423453442011	0 2 36 38 78 80 120 122 156 158	322133351064
STPT(10)	2600420617279229159	0 2 42 44 120 122 198 200 240 242	515959138212
SPT(16)	2600420884635015271	0 16 60 82 88 100 112 162 166 216 228 240 246 268 312 328	783314924324
SPT(16)	2600421120943723697	0 6 14 44 96 146 204 230 246 272 330 380 432 462 470 476	1019623632750