Prime p₀= 68179411782698369 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 40 2 46 2 16 2 10 2 (?)
a_n: 0 2 60 62 102 104 150 152 168 170 180 182
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: 182
Found by: scrap
db: batch=67, k=12, 58 40 46 16 10

SPT(14)	68179391006329307	0 14 20 26 42 102 104 132 134 194 210 216 222 236	-20776369062
SPT(14)	68179396600825621	0 46 66 100 130 150 156 166 172 192 222 256 276 322	-15181872748
SPT(14)	68179401981130459	0 18 24 52 88 118 130 132 144 174 210 238 244 262	-9801567910
TPT(12)	68179409520620087	0 2 30 32 60 62 174 176 222 224 252 254	-2262078282
SPT(14)	68179410260017741	0 42 72 76 142 172 202 210 240 270 336 340 370 412	-1522680628
SPT(16)	68179411779841469	0 2 32 38 60 72 78 120 122 164 170 182 204 210 240 242	-2856900
TPT(12)	68179456681643849	0 2 12 14 78 80 90 92 150 152 180 182	44898945480
SPT(14)	68179474965124217	0 6 14 30 36 104 114 182 192 260 266 282 290 296	63182425848
SPT(14)	68179477788619537	0 42 90 106 126 160 172 204 216 250 270 286 334 376	66005921168
SPT(14)	68179478809962253	0 4 10 18 90 108 130 138 160 178 250 258 264 268	67027263884
SPT(16)	68179489791554191	0 10 18 42 52 70 72 78 172 178 180 198 208 232 240 250	78008855822