Prime p₀= 1381734142463868299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 82 2 34 2 130 2 16 2 (?)
a_n: 0 2 42 44 78 80 162 164 198 200 330 332 348 350
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: 350
Found by: kim-b-h
db: batch=77, k=14, 40 34 82 34 130 16

SPT(16)	1381731813384443537	0 14 24 42 66 90 92 132 134 174 176 200 224 242 252 266	-2329079424762
STPT(10)	1381732467402848831	0 2 6 8 48 50 90 92 96 98	-1675061019468
SPT(16)	1381732686050741683	0 16 24 46 60 66 106 150 184 228 268 274 288 310 318 334	-1456413126616
SPT(16)	1381733335193080637	0 32 42 74 140 144 152 162 242 252 260 264 330 362 372 404	-807270787662
SPT(16)	1381733577997189531	0 28 58 70 118 130 132 168 190 226 228 240 288 300 330 358	-564466678768
STPT(10)	1381734068841676799	0 2 18 20 30 32 42 44 60 62	-73622191500
SPT(16)	1381734306439613039	0 14 20 30 50 90 134 144 170 180 224 264 284 294 300 314	163975744740
STPT(10)	1381734441174723407	0 2 72 74 102 104 132 134 204 206	298710855108
SPT(16)	1381734739239814951	0 6 18 60 82 90 106 148 150 192 208 216 238 280 292 298	596775946652
TPT(14)	1381735164663952937	0 2 24 26 60 62 114 116 150 152 180 182 192 194	1022200084638
SPT(16)	1381735464314954041	0 46 52 118 156 198 216 220 258 262 280 322 360 426 432 478	1321851085742