Prime p₀= 162776543405388359 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 184 2 28 2 22 2 16 2 (?)
a_n: 0 2 12 14 198 200 228 230 252 254 270 272
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: 272
Found by: stoneageman
db: batch=67, k=12, 10 184 28 22 16

SPT(14)	162776487228523097	0 12 30 42 54 72 80 114 122 140 152 164 182 194	-56176865262
TPT(12)	162776487933320111	0 2 48 50 90 92 138 140 156 158 168 170	-55472068248
TPT(12)	162776507716911719	0 2 12 14 72 74 78 80 180 182 198 200	-35688476640
SPT(14)	162776515848506771	0 18 26 66 92 96 120 158 182 186 212 252 260 278	-27556881588
TPT(12)	162776516043750317	0 2 60 62 90 92 120 122 132 134 144 146	-27361638042
SPT(14)	162776521149449719	0 18 28 40 42 58 70 72 84 100 102 114 124 142	-22255938640
SPT(14)	162776547577245311	0 12 68 78 90 128 132 176 180 218 230 240 296 308	4171856952
SPT(16)	162776561692516949	0 8 42 50 60 72 90 128 204 242 260 272 282 290 324 332	18287128590
SPT(14)	162776565550203659	0 54 62 80 132 138 164 168 194 200 252 270 278 332	22144815300
SPT(14)	162776574597131167	0 4 10 22 40 54 66 100 112 126 144 156 162 166	31191742808
STPT(10)	162776581212812597	0 2 30 32 60 62 90 92 120 122	37807424238