Prime p₀= 3000154662703160759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 40 2 94 2 40 2 10 2 (?)
a_n: 0 2 42 44 60 62 102 104 198 200 240 242 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 40 16 40 94 40 10

SPT(16)	3000152472543208973	0 6 8 20 26 50 56 68 246 258 264 288 294 306 308 314	-2190159951786
STPT(10)	3000152658310206797	0 2 30 32 72 74 114 116 144 146	-2004392953962
TPT(14)	3000152920476805277	0 2 90 92 174 176 294 296 420 422 480 482 504 506	-1742226355482
STPT(10)	3000153274981899719	0 2 48 50 90 92 132 134 180 182	-1387721261040
STPT(10)	3000153469927901429	0 2 18 20 30 32 42 44 60 62	-1192775259330
SPT(16)	3000153549891704959	0 12 30 42 54 64 90 102 142 154 180 190 202 214 232 244	-1112811455800
STPT(12)	3000155040643282211	0 2 30 32 48 50 180 182 198 200 228 230	377940121452
SPT(16)	3000155153205271199	0 8 20 42 68 78 90 98 132 140 152 162 188 210 222 230	490502110440
STPT(10)	3000155967550009361	0 2 30 32 60 62 90 92 120 122	1304846848602
STPT(10)	3000156134398089827	0 2 30 32 42 44 54 56 84 86	1471694929068
STPT(10)	3000156312492909761	0 2 36 38 78 80 120 122 156 158	1649789749002