Prime p₀= 261520524782630171 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 10 2 10 2 58 2 4 2 (?)
a_n: 0 2 36 38 48 50 60 62 120 122 126 128
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 128
Found by: Roadranner
db: batch=69, k=12, 34 10 10 58 4

SPT(14)	261520495627476991	0 16 36 42 96 112 156 166 210 226 280 286 306 322	-29155153180
SPT(14)	261520501381349957	0 32 80 140 174 186 230 246 290 302 336 396 444 476	-23401280214
SPT(14)	261520510684453583	0 6 38 66 80 114 128 276 290 324 338 366 398 404	-14098176588
SPT(16)	261520511562395143	0 34 70 84 90 114 160 174 304 318 364 388 394 408 444 478	-13220235028
SPT(14)	261520520297747407	0 30 54 64 82 100 120 124 144 162 180 190 214 244	-4484882764
SPT(14)	261520522923335749	0 24 52 54 72 108 120 142 154 190 208 210 238 262	-1859294422
SPT(14)	261520527374038321	0 12 30 42 60 72 90 180 198 210 228 240 258 270	2591408150
SPT(14)	261520529880008513	0 6 56 90 104 116 170 174 228 240 254 288 338 344	5097378342
SPT(14)	261520536596415149	0 32 44 50 54 62 140 174 252 260 264 270 282 314	11813784978
SPT(14)	261520546232554043	0 8 24 30 56 68 78 86 96 108 134 140 156 164	21449923872
TPT(14)	261520550028523451	0 2 30 32 96 98 120 122 210 212 240 242 276 278	25245893280