Prime p₀= 2169456933203576591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 46 2 28 2 22 2 58 2 34 2 (?)
a_n: 0 2 78 80 126 128 156 158 180 182 240 242 276 278
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: 278
Found by: Asgard2022
db: batch=81, k=14, 76 46 28 22 58 34

SPT(16)	2169455383139804597	0 6 56 66 116 146 180 194 342 356 390 420 470 480 530 536	-1550063771994
STPT(10)	2169455652956445179	0 2 18 20 30 32 42 44 60 62	-1280247131412
STPT(10)	2169455840480819879	0 2 18 20 30 32 42 44 60 62	-1092722756712
STPT(10)	2169456094801476317	0 2 42 44 72 74 102 104 144 146	-838402100274
STPT(10)	2169456341950846811	0 2 36 38 78 80 120 122 156 158	-591252729780
SPT(16)	2169456497160066593	0 20 48 56 78 86 90 110 114 134 138 146 168 176 204 224	-436043509998
SPT(16)	2169457956234185689	0 4 28 42 88 94 178 198 274 294 378 384 430 444 468 472	1023030609098
SPT(16)	2169458098685394589	0 4 94 102 114 120 132 144 160 172 184 190 202 210 300 304	1165481817998
SPT(16)	2169458408169266861	0 8 12 50 78 80 92 122 138 168 180 182 210 248 252 260	1474965690270
SPT(16)	2169458517438692819	0 20 48 54 62 92 128 138 164 174 210 240 248 254 282 302	1584235116228
SPT(13)	2169459404939036459	0 12 138 168 210 228 300 372 390 432 462 588 600	2471735459868