Prime p₀= 502164920177954651 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 28 2 64 2 10 2 76 2 (?)
a_n: 0 2 60 62 90 92 156 158 168 170 246 248
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: 248
Found by: marsinph
db: batch=71, k=12, 58 28 64 10 76

SPT(14)	502164787949401289	0 18 20 62 138 150 188 234 272 284 360 402 404 422	-132228553362
TPT(12)	502164853782763097	0 2 54 56 180 182 222 224 264 266 300 302	-66395191554
SPT(14)	502164883627450357	0 42 52 72 100 142 196 210 264 306 334 354 364 406	-36550504294
SPT(16)	502164897105573511	0 28 90 96 112 138 160 166 252 258 280 306 322 328 390 418	-23072381140
STPT(10)	502164909327682421	0 2 6 8 18 20 30 32 36 38	-10850272230
SPT(16)	502164919257647783	0 14 20 26 54 96 98 144 260 306 308 350 378 384 390 404	-920306868
TPT(12)	502164920354201327	0 2 12 14 42 44 114 116 144 146 150 152	176246676
SPT(14)	502164920842875733	0 10 28 48 78 100 106 120 126 148 178 198 216 226	664921082
SPT(14)	502164921314230609	0 4 12 22 28 54 64 78 88 114 120 130 138 142	1136275958
SPT(14)	502164929765047529	0 8 38 44 60 80 84 158 162 182 198 204 234 242	9587092878
SPT(14)	502164958176152371	0 66 88 100 130 132 192 196 256 258 288 300 322 388	37998197720