Prime p₀= 1265697253801899011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 28 2 46 2 28 2 10 2 16 2 (?)
a_n: 0 2 90 92 120 122 168 170 198 200 210 212 228 230
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: 230
Found by: mikey
db: batch=77, k=14, 88 28 46 28 10 16

SPT(16)	1265696511410773787	0 14 36 66 86 90 104 126 164 186 200 204 224 254 276 290	-742391125224
STPT(10)	1265696971993778081	0 2 6 8 18 20 30 32 36 38	-281808120930
STPT(10)	1265696981672392679	0 2 48 50 90 92 132 134 180 182	-272129506332
STPT(10)	1265697090995717837	0 2 30 32 72 74 114 116 144 146	-162806181174
SPT(16)	1265697145316983021	0 12 16 40 42 76 118 132 166 180 222 256 258 282 286 298	-108484915990
STPT(10)	1265697210620490911	0 2 6 8 48 50 90 92 96 98	-43181408100
STPT(10)	1265697761946955367	0 2 30 32 60 62 90 92 120 122	508145056356
STPT(10)	1265697785794029407	0 2 30 32 120 122 210 212 240 242	531992130396
SPT(16)	1265698636214273299	0 22 34 48 64 90 100 108 124 132 142 168 184 198 210 232	1382412374288
STPT(10)	1265699096069988059	0 2 18 20 30 32 42 44 60 62	1842268089048
SPT(16)	1265699320191762013	0 18 28 34 94 148 166 208 216 258 276 330 390 396 406 424	2066389863002