Prime p₀= 261337742653903451 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 16 2 76 2 28 2 22 2 (?)
a_n: 0 2 30 32 48 50 126 128 156 158 180 182
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: 182
Found by: Roadranner
db: batch=69, k=12, 28 16 76 28 22

SPT(16)	261337695634125457	0 22 40 54 72 90 100 112 132 144 154 172 190 204 222 244	-47019777994
SPT(14)	261337722605974361	0 8 18 32 72 78 102 158 182 188 228 242 252 260	-20047929090
SPT(14)	261337725643717757	0 26 42 62 80 146 182 234 270 336 354 374 390 416	-17010185694
SPT(14)	261337729832395243	0 30 60 66 70 114 130 180 196 240 244 250 280 310	-12821508208
SPT(14)	261337739454573967	0 12 22 52 66 82 106 180 204 220 234 264 274 286	-3199329484
SPT(14)	261337739670744259	0 12 22 28 40 48 90 112 154 162 174 180 190 202	-2983159192
TPT(12)	261337770172316597	0 2 90 92 102 104 114 116 222 224 312 314	27518413146
SPT(14)	261337781382056543	0 26 48 98 120 134 146 168 180 194 216 266 288 314	38728153092
SPT(14)	261337781913428291	0 18 38 42 56 80 122 156 198 222 236 240 260 278	39259524840
SPT(14)	261337787929753571	0 2 32 50 60 128 138 182 192 260 270 288 318 320	45275850120
SPT(14)	261337792134527627	0 12 30 32 84 102 116 150 164 182 234 236 254 266	49480624176