Prime p₀= 105959226258142727 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 10 2 64 2 10 2 (?)
a_n: 0 2 30 32 72 74 84 86 150 152 162 164
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: 164
Found by: Modefreak
db: batch=67, k=12, 28 40 10 64 10

SPT(14)	105959173903462457	0 50 62 90 92 140 152 162 174 222 224 252 264 314	-52354680270
TPT(12)	105959174936190089	0 2 120 122 192 194 222 224 252 254 372 374	-51321952638
SPT(14)	105959199021837089	0 32 80 92 132 200 222 230 252 320 360 372 420 452	-27236305638
SPT(14)	105959200745644009	0 4 10 22 54 84 108 124 148 178 210 222 228 232	-25512498718
SPT(14)	105959210429411699	0 2 8 42 54 78 90 92 104 128 140 174 180 182	-15828731028
SPT(14)	105959220870117061	0 16 42 46 66 96 108 130 142 172 192 196 222 238	-5388025666
SPT(14)	105959241262230157	0 22 46 60 76 90 96 106 112 126 142 156 180 202	15004087430
SPT(14)	105959255998477033	0 28 70 94 124 136 138 166 168 180 210 234 276 304	29740334306
SPT(14)	105959289605888401	0 16 48 88 96 118 126 160 168 190 198 238 270 286	63347745674
SPT(16)	105959305296292267	0 24 42 54 66 94 96 156 250 310 312 340 352 364 382 406	79038149540
SPT(14)	105959315013431497	0 4 10 66 100 102 112 144 154 156 190 246 252 256	88755288770