Prime p₀= 2971840212408114431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 28 2 28 2 70 2 148 2 (?)
a_n: 0 2 60 62 66 68 96 98 126 128 198 200 348 350
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: 350
Found by: [SG-FC] hl
db: batch=82, k=14, 58 4 28 28 70 148

SPT(16)	2971838491980940051	0 10 16 22 70 78 120 126 172 178 220 228 276 282 288 298	-1720427174380
STPT(10)	2971838680082854331	0 2 36 38 78 80 120 122 156 158	-1532325260100
SPT(16)	2971838998026797693	0 26 90 116 126 158 168 186 260 278 288 320 330 356 420 446	-1214381316738
STPT(10)	2971839558626210771	0 2 36 38 78 80 120 122 156 158	-653781903660
SPT(16)	2971839612703757701	0 6 100 112 138 162 166 168 190 192 196 220 246 258 352 358	-599704356730
STPT(10)	2971840152091911809	0 2 42 44 60 62 78 80 120 122	-60316202622
SPT(16)	2971840220316687037	0 52 54 66 90 94 112 154 162 204 222 226 250 262 264 316	7908572606
STPT(10)	2971840346419826657	0 2 12 14 42 44 72 74 84 86	134011712226
STPT(10)	2971840400215066307	0 2 54 56 72 74 90 92 144 146	187806951876
SPT(16)	2971840747168865953	0 6 30 96 118 138 160 166 210 216 238 258 280 346 370 376	534760751522
STPT(10)	2971840794745661471	0 2 6 8 48 50 90 92 96 98	582337547040