Prime p₀= 164833618235964497 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 118 2 58 2 10 2 40 2 (?)
a_n: 0 2 30 32 150 152 210 212 222 224 264 266
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: 266
Found by: arkiss
db: batch=67, k=12, 28 118 58 10 40

SPT(14)	164833586293799197	0 12 60 82 102 112 136 210 234 244 264 286 334 346	-31942165300
SPT(14)	164833590251598691	0 30 36 40 42 66 70 78 82 106 108 112 118 148	-27984365806
SPT(14)	164833602583339817	0 44 54 74 102 114 134 162 182 194 222 242 252 296	-15652624680
SPT(14)	164833602591290629	0 10 12 24 54 64 112 192 240 250 280 292 294 304	-15644673868
TPT(12)	164833607965166927	0 2 42 44 132 134 174 176 180 182 204 206	-10270797570
SPT(14)	164833609540782697	0 12 16 22 40 42 60 82 100 102 120 126 130 142	-8695181800
SPT(14)	164833622748463969	0 10 54 70 94 112 138 154 180 198 222 238 282 292	4512499472
SPT(14)	164833623796424647	0 12 54 64 72 124 142 252 270 322 330 340 382 394	5560460150
SPT(14)	164833640148448961	0 2 18 30 60 78 92 96 110 128 158 170 186 188	21912484464
SPT(14)	164833642402683259	0 18 64 70 90 118 120 178 180 208 228 234 280 298	24166718762
SPT(14)	164833661317226047	0 4 54 70 76 82 102 124 144 150 156 172 222 226	43081261550