Prime p₀= 4062982630237862039 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 46 2 40 2 94 2 58 2 (?)
a_n: 0 2 18 20 42 44 90 92 132 134 228 230 288 290
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: 290
Found by: [SG-2W]Kurzer
db: batch=84, k=14, 16 22 46 40 94 58

STPT(10)	4062980112210553901	0 2 6 8 48 50 90 92 96 98	-2518027308138
STPT(10)	4062980532895385537	0 2 42 44 72 74 102 104 144 146	-2097342476502
STPT(10)	4062981245312884589	0 2 30 32 60 62 90 92 120 122	-1384924977450
SPT(16)	4062981488417991197	0 56 80 90 122 132 144 164 192 212 224 234 266 276 300 356	-1141819870842
SPT(16)	4062982111287350171	0 20 60 126 138 140 170 182 186 198 228 230 242 308 348 368	-518950511868
SPT(16)	4062982449901406729	0 24 48 74 80 98 120 140 168 188 210 228 234 260 284 308	-180336455310
SPT(16)	4062982707862259903	0 36 38 54 74 156 198 200 204 206 248 330 350 366 368 404	77624397864
SPT(16)	4062984544827023659	0 18 28 30 70 78 90 112 120 142 154 162 202 204 214 232	1914589161620
SPT(16)	4062984997855060681	0 22 40 60 70 76 82 106 186 210 216 222 232 252 270 292	2367617198642
SPT(16)	4062985217011034773	0 28 30 40 96 114 154 180 244 270 310 328 384 394 396 424	2586773172734
STPT(10)	4062985447739955431	0 2 30 32 60 62 90 92 120 122	2817502093392