Prime p₀= 2253903239138447249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 286 2 10 2 28 2 10 2 88 2 28 2 (?)
a_n: 0 2 288 290 300 302 330 332 342 344 432 434 462 464
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: 464
Found by: Landjunge
db: batch=81, k=14, 286 10 28 10 88 28

SPT(16)	2253902261005392869	0 42 44 62 72 104 110 132 152 174 180 212 222 240 242 284	-978133054380
STPT(10)	2253902419755042149	0 2 18 20 30 32 42 44 60 62	-819383405100
SPT(16)	2253902515612452037	0 16 22 54 90 120 132 142 144 154 166 196 232 264 270 286	-723525995212
SPT(16)	2253902687106620117	0 44 50 72 120 122 144 150 176 182 204 206 254 276 282 326	-552031827132
SPT(16)	2253902882360908939	0 4 24 30 34 40 54 90 94 130 144 150 154 160 180 184	-356777538310
STPT(10)	2253902966099452487	0 2 30 32 42 44 54 56 84 86	-273038994762
STPT(12)	2253903270155162321	0 2 66 68 90 92 126 128 150 152 216 218	31016715072
STPT(10)	2253903434959340831	0 2 6 8 18 20 30 32 36 38	195820893582
SPT(16)	2253903524295354809	0 8 48 50 72 92 98 128 174 204 210 230 252 254 294 302	285156907560
STPT(10)	2253903664566337877	0 2 30 32 60 62 90 92 120 122	425427890628
STPT(10)	2253903737822643029	0 2 12 14 30 32 48 50 60 62	498684195780