Prime p₀= 729385943146957469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 10 2 94 2 28 2 10 2 (?)
a_n: 0 2 72 74 90 92 102 104 198 200 228 230 240 242
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: 242
Found by: Theadalus
db: batch=73, k=14, 70 16 10 94 28 10

SPT(16)	729384992656303609	0 42 48 52 58 70 108 124 168 184 222 234 240 244 250 292	-950490653860
SPT(16)	729385189985960423	0 26 90 156 164 168 194 216 248 270 296 300 308 374 438 464	-753160997046
STPT(10)	729385451452924457	0 2 42 44 72 74 102 104 144 146	-491694033012
SPT(16)	729385652377343653	0 66 76 90 94 168 220 250 264 294 346 420 424 438 448 514	-290769613816
SPT(16)	729385759924868191	0 6 46 60 70 82 112 136 162 186 216 228 238 252 292 298	-183222089278
SPT(16)	729385929394057363	0 24 58 64 70 106 120 136 168 184 198 234 240 246 280 304	-13752900106
STPT(10)	729386257031982239	0 2 18 20 30 32 42 44 60 62	313885024770
STPT(10)	729386263073792411	0 2 6 8 48 50 90 92 96 98	319926834942
STPT(12)	729386272528816127	0 2 42 44 54 56 210 212 222 224 264 266	329381858658
TPT(14)	729386322421152659	0 2 18 20 42 44 90 92 132 134 258 260 300 302	379274195190
STPT(10)	729386958400857467	0 2 42 44 72 74 102 104 144 146	1015253899998