Prime p₀= 1294144239374907827 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 16 2 28 2 130 2 16 2 (?)
a_n: 0 2 54 56 84 86 102 104 132 134 264 266 282 284
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: 284
Found by: stoneageman
db: batch=77, k=14, 52 28 16 28 130 16

STPT(10)	1294141205906945489	0 2 18 20 30 32 42 44 60 62	-3033467962338
SPT(16)	1294141426643368957	0 24 34 64 82 84 124 132 142 150 190 192 210 240 250 274	-2812731538870
STPT(10)	1294141452051659051	0 2 36 38 78 80 120 122 156 158	-2787323248776
SPT(16)	1294142772092775533	0 8 26 38 68 78 80 120 236 276 278 288 318 330 348 356	-1467282132294
SPT(16)	1294143625317282319	0 10 24 28 34 72 100 112 180 192 220 258 264 268 282 292	-614057625508
STPT(10)	1294144203278527631	0 2 30 32 60 62 90 92 120 122	-36096380196
STPT(10)	1294144403374307081	0 2 36 38 78 80 120 122 156 158	163999399254
SPT(16)	1294144451471308711	0 22 52 82 108 126 148 190 198 240 262 280 306 336 366 388	212096400884
SPT(16)	1294144754579275733	0 54 78 84 96 98 144 150 194 200 246 248 260 266 290 344	515204367906
STPT(10)	1294145297761004807	0 2 24 26 42 44 60 62 84 86	1058386096980
SPT(13)	1294145660567659633	0 6 24 54 66 84 90 96 114 126 156 174 180	1421192751806