Prime p₀= 525400422188354759 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 40 2 28 2 40 2 16 2 (?)
a_n: 0 2 138 140 180 182 210 212 252 254 270 272
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: 272
Found by: Roadranner
db: batch=71, k=12, 136 40 28 40 16

SPT(14)	525400379751264851	0 8 72 108 198 212 218 240 246 260 350 386 450 458	-42437089908
SPT(14)	525400398102013151	0 26 56 72 92 128 132 176 180 216 236 252 282 308	-24086341608
SPT(14)	525400398688342007	0 32 110 120 180 200 242 252 294 314 374 384 462 494	-23500012752
SPT(14)	525400408884946013	0 14 26 38 48 56 84 110 138 146 156 168 180 194	-13303408746
TPT(12)	525400420001992649	0 2 30 32 72 74 78 80 90 92 168 170	-2186362110
SPT(14)	525400420303233539	0 18 30 32 42 60 80 102 122 140 150 152 164 182	-1885121220
SPT(14)	525400437887083741	0 6 36 76 100 108 112 156 160 168 192 232 262 268	15698728982
SPT(14)	525400459072926443	0 6 48 66 90 116 146 210 240 266 290 308 350 356	36884571684
SPT(20)	525400461044495263	0 16 24 28 78 148 168 184 196 208 276 288 300 316 336 406 456 460 468 484	38856140504
TPT(12)	525400465894920389	0 2 90 92 102 104 198 200 210 212 222 224	43706565630
SPT(14)	525400478009246899	0 10 28 48 78 82 90 112 120 124 154 174 192 202	55820892140