Prime p₀= 1136167990023725147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 40 2 4 2 40 2 16 2 (?)
a_n: 0 2 24 26 102 104 144 146 150 152 192 194 210 212
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: 212
Found by: stoneageman
db: batch=76, k=14, 22 76 40 4 40 16

STPT(10)	1136166994473165407	0 2 30 32 42 44 54 56 84 86	-995550559740
STPT(10)	1136167264343820827	0 2 24 26 42 44 60 62 84 86	-725679904320
STPT(10)	1136167432502651411	0 2 30 32 78 80 126 128 156 158	-557521073736
SPT(16)	1136167596474551959	0 10 30 54 70 112 118 138 154 174 180 222 238 262 282 292	-393549173188
SPT(16)	1136167636650301667	0 12 54 96 102 126 132 144 152 164 170 194 200 242 284 296	-353373423480
SPT(16)	1136167876076052187	0 40 64 112 142 174 180 190 264 274 280 312 342 390 414 454	-113947672960
STPT(10)	1136168295795892769	0 2 12 14 90 92 168 170 180 182	305772167622
SPT(13)	1136168707085994359	0 12 30 42 60 144 162 180 264 282 294 312 324	717062269212
SPT(16)	1136168800464817139	0 30 48 104 108 114 122 128 144 150 158 164 168 224 242 272	810441091992
SPT(16)	1136169127439006029	0 4 28 40 54 64 84 90 118 124 144 154 168 180 204 208	1137415280882
TPT(14)	1136169728398242821	0 2 96 98 108 110 126 128 180 182 246 248 360 362	1738374517674