Prime p₀= 2403580738185838901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 46 2 40 2 76 2 70 2 10 2 (?)
a_n: 0 2 138 140 186 188 228 230 306 308 378 380 390 392
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: 392
Found by: [SG-FC] hl
db: batch=82, k=14, 136 46 40 76 70 10

SPT(16)	2403579978483978643	0 18 48 114 126 130 138 160 264 286 294 298 310 376 406 424	-759701860258
STPT(10)	2403580019524024067	0 2 24 26 42 44 60 62 84 86	-718661814834
TPT(14)	2403580032981961319	0 2 78 80 90 92 180 182 360 362 378 380 510 512	-705203877582
TPT(14)	2403580051329386327	0 2 30 32 72 74 102 104 144 146 222 224 234 236	-686856452574
SPT(16)	2403580508673341587	0 16 22 42 46 72 100 106 150 156 184 210 214 234 240 256	-229512497314
STPT(10)	2403580678864030871	0 2 6 8 18 20 30 32 36 38	-59321808030
STPT(10)	2403581624296329749	0 2 18 20 30 32 42 44 60 62	886110490848
SPT(16)	2403581677391160823	0 6 16 78 88 90 100 118 198 216 226 228 238 300 310 316	939205321922
STPT(10)	2403581705857662257	0 2 30 32 72 74 114 116 144 146	967671823356
TPT(16)	2403582119063600309	0 2 30 32 72 74 162 164 198 200 228 230 258 260 312 314	1380877761408
STPT(10)	2403582588104354351	0 2 30 32 60 62 90 92 120 122	1849918515450