Prime p₀= 1926004938598740449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 28 2 124 2 28 2 10 2 (?)
a_n: 0 2 48 50 72 74 102 104 228 230 258 260 270 272
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: 272
Found by: [SG-FC] dingdong
db: batch=80, k=14, 46 22 28 124 28 10

SPT(16)	1926003909063288347	0 24 86 122 132 146 170 230 276 336 360 374 384 420 482 506	-1029535452102
STPT(10)	1926003943160295587	0 2 30 32 42 44 54 56 84 86	-995438444862
TPT(14)	1926004142711576969	0 2 30 32 42 44 72 74 138 140 150 152 192 194	-795887163480
STPT(10)	1926004213106267291	0 2 6 8 48 50 90 92 96 98	-725492473158
SPT(16)	1926004628975355679	0 24 48 90 102 112 160 192 220 252 300 310 322 364 388 412	-309623384770
SPT(16)	1926004850037224497	0 10 34 52 60 66 112 154 192 234 280 286 294 312 336 346	-88561515952
SPT(16)	1926005316129203713	0 54 66 88 96 126 130 150 154 174 178 208 216 238 250 304	377530463264
SPT(16)	1926005540415526477	0 36 46 84 102 120 190 204 322 336 406 424 442 480 490 526	601816786028
SPT(16)	1926005572864086683	0 14 26 60 128 134 138 144 170 176 180 186 254 288 300 314	634265346234
SPT(16)	1926005596973578513	0 18 94 138 150 184 198 208 240 250 264 298 310 354 430 448	658374838064
SPT(16)	1926005621983198141	0 52 58 66 70 78 100 106 192 198 220 228 232 240 246 298	683384457692