Prime p₀= 117220808873898311 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 4 2 58 2 28 2 22 2 (?)
a_n: 0 2 30 32 36 38 96 98 126 128 150 152
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: 152
Found by: Alez
db: batch=67, k=12, 28 4 58 28 22

TPT(12)	117220761589535171	0 2 78 80 96 98 120 122 126 128 138 140	-47284363140
SPT(14)	117220768275487159	0 10 22 54 72 78 82 150 154 160 178 210 222 232	-40598411152
SPT(14)	117220774576098769	0 42 58 64 72 90 114 118 142 160 168 174 190 232	-34297799542
SPT(14)	117220786918042943	0 6 14 20 24 38 66 158 186 200 204 210 218 224	-21955855368
SPT(14)	117220788073339031	0 30 32 42 72 92 116 156 180 200 230 240 242 272	-20800559280
SPT(14)	117220795815914969	0 44 50 54 140 150 170 204 224 234 320 324 330 374	-13057983342
TPT(12)	117220838689266857	0 2 42 44 114 116 150 152 210 212 240 242	29815368546
TPT(12)	117220847106449027	0 2 12 14 30 32 54 56 102 104 132 134	38232550716
SPT(14)	117220858394777597	0 42 80 84 146 152 162 194 204 210 272 276 314 356	49520879286
SPT(14)	117220860866721673	0 18 24 28 70 130 136 138 144 204 246 250 256 274	51992823362
SPT(14)	117220866821473307	0 12 44 62 90 114 132 182 200 224 252 270 302 314	57947574996