Prime p₀= 2370731907595120337 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 10 2 10 2 16 2 10 2 (?)
a_n: 0 2 30 32 90 92 102 104 114 116 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=14, 28 58 10 10 16 10

SPT(16)	2370730411545644293	0 4 34 48 90 96 126 148 186 208 238 244 286 300 330 334	-1496049476044
SPT(16)	2370730443455184451	0 12 16 18 36 82 198 202 336 340 456 502 520 522 526 538	-1464139935886
SPT(16)	2370730660149216529	0 42 58 160 180 192 204 208 234 238 250 262 282 384 400 442	-1247445903808
STPT(10)	2370730911273414749	0 2 12 14 90 92 168 170 180 182	-996321705588
SPT(16)	2370730942839426641	0 18 48 68 90 96 122 162 206 246 272 278 300 320 350 368	-964755693696
STPT(10)	2370731275445632439	0 2 18 20 30 32 42 44 60 62	-632149487898
SPT(16)	2370732047213661479	0 18 20 78 80 108 122 132 218 228 242 270 272 330 332 350	139618541142
SPT(16)	2370732134306458099	0 4 28 48 60 78 84 112 150 178 184 202 214 234 258 262	226711337762
SPT(16)	2370732256486782217	0 16 46 52 100 102 112 142 234 264 274 276 324 330 360 376	348891661880
SPT(16)	2370732377739592127	0 32 74 84 104 120 140 186 230 276 296 312 332 342 384 416	470144471790
SPT(16)	2370732403685850157	0 10 64 114 262 364 370 412 444 486 492 594 742 792 846 856	496090729820