Prime p₀= 129509896437828287 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 10 2 64 2 10 2 76 2 (?)
a_n: 0 2 42 44 54 56 120 122 132 134 210 212
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: 212
Found by: arkiss
db: batch=67, k=12, 40 10 64 10 76

SPT(14)	129509806418127229	0 12 22 64 70 72 78 154 160 162 168 210 220 232	-90019701058
SPT(14)	129509828865516773	0 18 44 98 114 144 156 188 200 230 246 300 326 344	-67572311514
SPT(14)	129509860731518843	0 44 50 80 90 104 134 156 186 200 210 240 246 290	-35706309444
TPT(12)	129509878238944127	0 2 12 14 72 74 84 86 114 116 210 212	-18198884160
SPT(14)	129509889459439991	0 90 120 182 222 228 258 272 302 308 348 410 440 530	-6978388296
SPT(14)	129509894217952513	0 28 70 88 90 108 154 174 220 238 240 258 300 328	-2219875774
TPT(12)	129509914926931919	0 2 18 20 30 32 48 50 78 80 90 92	18489103632
SPT(14)	129509924678036299	0 22 28 40 42 60 82 90 112 130 132 144 150 172	28240208012
TPT(12)	129509931425681087	0 2 30 32 72 74 162 164 210 212 240 242	34987852800
SPT(14)	129509932866044767	0 22 24 60 64 66 82 84 100 102 106 142 144 166	36428216480
SPT(14)	129509940184296821	0 32 36 42 48 90 102 146 158 200 206 212 216 248	43746468534