Prime p₀= 64050717966347687 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 28 2 64 2 130 2 10 2 (?)
a_n: 0 2 24 26 54 56 120 122 252 254 264 266
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: 266
Found by: emoga
db: batch=67, k=12, 22 28 64 130 10

SPT(14)	64050663630606127	0 10 12 52 72 142 166 186 210 280 300 340 342 352	-54335741560
SPT(14)	64050666061301897	0 32 50 66 80 102 104 162 164 186 200 216 234 266	-51905045790
SPT(14)	64050667270916201	0 38 50 56 72 80 102 176 198 206 222 228 240 278	-50695431486
SPT(14)	64050674196251497	0 24 46 52 66 72 96 100 124 130 144 150 172 196	-43770096190
SPT(14)	64050681125973473	0 24 78 86 98 128 156 248 276 306 318 326 380 404	-36840374214
SPT(14)	64050684164880841	0 10 30 46 58 96 150 256 310 348 360 376 396 406	-33801466846
STPT(10)	64050719030838479	0 2 42 44 60 62 78 80 120 122	1064490792
SPT(14)	64050720466571351	0 30 78 122 132 156 168 170 182 206 216 260 308 338	2500223664
SPT(14)	64050746076523513	0 4 6 114 118 186 196 228 238 306 310 418 420 424	28110175826
SPT(14)	64050753166249243	0 64 76 88 114 130 144 160 174 190 216 228 240 304	35199901556
SPT(14)	64050756112080281	0 20 56 90 102 122 152 216 246 266 278 312 348 368	38145732594