Prime p₀= 2644166511026607731 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 88 2 10 2 148 2 16 2 (?)
a_n: 0 2 6 8 36 38 126 128 138 140 288 290 306 308
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: 308
Found by: RFGuy_KCCO
db: batch=82, k=14, 4 28 88 10 148 16

SPT(16)	2644165118413485559	0 48 60 90 102 132 138 148 354 364 370 400 412 442 454 502	-1392613122172
STPT(10)	2644165209550616639	0 2 18 20 30 32 42 44 60 62	-1301475991092
TPT(16)	2644165679900555339	0 2 12 14 42 44 72 74 102 104 168 170 198 200 282 284	-831126052392
TPT(14)	2644165726287995867	0 2 24 26 42 44 150 152 180 182 270 272 312 314	-784738611864
STPT(10)	2644165729798130507	0 2 12 14 72 74 132 134 144 146	-781228477224
SPT(16)	2644166457464549153	0 24 50 68 96 114 140 170 174 204 230 248 276 294 320 344	-53562058578
SPT(16)	2644166777210932769	0 32 38 54 60 78 98 108 134 144 164 182 188 204 210 242	266184325038
STPT(10)	2644167005079601607	0 2 60 62 72 74 84 86 144 146	494052993876
STPT(10)	2644167856022657561	0 2 36 38 78 80 120 122 156 158	1344996049830
TPT(14)	2644168010112112037	0 2 12 14 24 26 30 32 162 164 180 182 222 224	1499085504306
TPT(14)	2644168109433209867	0 2 30 32 102 104 180 182 222 224 300 302 312 314	1598406602136