Prime p₀= 2950594294816369757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 148 2 4 2 82 2 118 2 28 2 (?)
a_n: 0 2 54 56 204 206 210 212 294 296 414 416 444 446
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: 446
Found by: [SG-FC] hl
db: batch=82, k=14, 52 148 4 82 118 28

SPT(16)	2950593851606500703	0 8 18 44 80 84 90 140 234 284 290 294 330 356 366 374	-443209869054
SPT(16)	2950593986229011323	0 4 10 18 70 76 84 106 108 130 138 144 196 204 210 214	-308587358434
STPT(10)	2950593986963266739	0 2 18 20 30 32 42 44 60 62	-307853103018
SPT(16)	2950594061594679499	0 28 60 82 84 88 94 130 132 168 174 178 180 202 234 262	-233221690258
SPT(16)	2950594141971232979	0 8 48 60 74 122 144 158 234 248 270 318 332 344 384 392	-152845136778
SPT(16)	2950594155790009829	0 2 60 78 92 104 114 158 174 218 228 240 254 272 330 332	-139026359928
SPT(16)	2950594430086559911	0 6 28 42 58 76 78 106 132 160 162 180 196 210 232 238	135270190154
SPT(16)	2950594723277853937	0 22 82 84 112 126 132 160 216 244 250 264 292 294 354 376	428461484180
SPT(16)	2950594899639596887	0 12 46 52 66 126 130 142 210 222 226 286 300 306 340 352	604823227130
SPT(16)	2950595234537849009	0 12 62 114 152 168 174 180 272 278 284 300 338 390 440 452	939721479252
STPT(10)	2950595261992477961	0 2 36 38 78 80 120 122 156 158	967176108204