Prime p₀= 68655563188905767 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 40 2 4 2 160 2 40 2 (?)
a_n: 0 2 42 44 84 86 90 92 252 254 294 296
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: 296
Found by: Ralfy
db: batch=67, k=12, 40 40 4 160 40

TPT(12)	68655496235648279	0 2 12 14 18 20 72 74 168 170 198 200	-66953257488
SPT(14)	68655496708049189	0 38 50 60 74 138 152 210 224 288 302 312 324 362	-66480856578
SPT(14)	68655507125909147	0 12 26 42 54 56 66 80 90 92 104 120 134 146	-56062996620
SPT(14)	68655531484362947	0 26 36 42 104 146 150 176 180 222 284 290 300 326	-31704542820
SPT(14)	68655537899395123	0 18 40 48 70 118 120 136 138 186 208 216 238 256	-25289510644
SPT(14)	68655560608502729	0 50 72 80 102 120 140 180 200 218 240 248 270 320	-2580403038
SPT(14)	68655564163338953	0 38 170 198 236 264 276 338 350 378 416 444 576 614	974433186
SPT(14)	68655564797884049	0 24 30 42 60 90 108 164 182 212 230 242 248 272	1608978282
SPT(14)	68655578573422657	0 4 40 66 82 102 120 136 154 174 190 216 252 256	15384516890
TPT(12)	68655579163189481	0 2 36 38 78 80 126 128 138 140 156 158	15974283714
TPT(12)	68655585966373277	0 2 60 62 132 134 144 146 222 224 240 242	22777467510