Prime p₀= 2283445901856083687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 46 2 148 2 58 2 10 2 28 2 (?)
a_n: 0 2 114 116 162 164 312 314 372 374 384 386 414 416
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: 416
Found by: [SG-2W]Kurzer
db: batch=81, k=14, 112 46 148 58 10 28

STPT(10)	2283444556381856729	0 2 78 80 120 122 162 164 240 242	-1345474226958
TPT(14)	2283444598338492131	0 2 138 140 180 182 306 308 408 410 420 422 426 428	-1303517591556
STPT(12)	2283444932479537367	0 2 60 62 72 74 90 92 102 104 162 164	-969376546320
SPT(16)	2283445170745269233	0 14 30 104 108 126 140 170 174 204 218 236 240 314 330 344	-731110814454
SPT(13)	2283445599200333453	0 48 54 78 84 138 174 210 264 270 294 300 348	-302655750234
SPT(16)	2283445724811684287	0 30 72 122 126 140 152 180 266 294 306 320 324 374 416 446	-177044399400
SPT(16)	2283446025303212477	0 12 26 50 54 56 80 96 140 156 180 182 186 210 224 236	123447128790
SPT(13)	2283446128903109021	0 36 42 60 66 102 126 150 186 192 210 216 252	227047025334
SPT(16)	2283446198122274173	0 6 10 16 46 60 84 118 126 160 184 198 228 234 238 244	296266190486
STPT(10)	2283446303894370467	0 2 30 32 72 74 114 116 144 146	402038286780
SPT(16)	2283446490524549431	0 6 48 70 76 100 118 126 130 138 156 180 186 208 250 256	588668465744