Prime p₀= 2154816751890896519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 28 2 172 2 76 2 10 2 (?)
a_n: 0 2 30 32 108 110 138 140 312 314 390 392 402 404
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: 404
Found by: Landjunge
db: batch=81, k=14, 28 76 28 172 76 10

SPT(16)	2154813990244898069	0 14 42 50 54 80 98 150 152 204 222 248 252 260 288 302	-2761645998450
TPT(14)	2154814072072938929	0 2 42 44 78 80 102 104 198 200 228 230 252 254	-2679817957590
STPT(10)	2154814906676565569	0 2 42 44 60 62 78 80 120 122	-1845214330950
SPT(16)	2154814932608022829	0 18 28 34 40 72 102 172 210 280 310 342 348 354 364 382	-1819282873690
STPT(10)	2154815452635342251	0 2 66 68 138 140 210 212 276 278	-1299255554268
SPT(16)	2154816075497079853	0 4 34 46 78 118 144 154 180 190 216 256 288 300 330 334	-676393816666
SPT(16)	2154816915392276341	0 48 52 70 90 120 148 162 166 180 208 238 258 276 280 328	163501379822
SPT(16)	2154817086119517893	0 14 90 108 110 138 146 194 210 258 266 294 296 314 390 404	334228621374
STPT(10)	2154817617713190767	0 2 30 32 42 44 54 56 84 86	865822294248
STPT(10)	2154818350708389209	0 2 18 20 30 32 42 44 60 62	1598817492690
SPT(16)	2154818842677133807	0 52 54 72 76 94 96 102 124 130 132 150 154 172 174 226	2090786237288