Prime p₀= 165199027715253317 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 58 2 10 2 10 2 (?)
a_n: 0 2 30 32 60 62 120 122 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=67, k=12, 28 28 58 10 10

SPT(14)	165198966992027561	0 42 60 90 116 126 132 176 182 192 218 248 266 308	-60723225756
SPT(14)	165198967437336143	0 20 38 44 54 68 80 138 150 164 174 180 198 218	-60277917174
SPT(14)	165198986166969203	0 8 26 38 66 80 86 120 126 140 168 180 198 206	-41548284114
SPT(14)	165198994300564439	0 42 92 134 138 140 168 194 222 224 228 270 320 362	-33414688878
SPT(14)	165199004570092231	0 36 46 48 70 82 88 120 126 138 160 162 172 208	-23145161086
SPT(14)	165199005182193457	0 34 40 46 90 144 154 156 166 220 264 270 276 310	-22533059860
STPT(10)	165199027852008119	0 2 12 14 30 32 48 50 60 62	136754802
SPT(14)	165199038112851881	0 12 20 42 62 78 80 150 152 168 188 210 218 230	10397598564
SPT(14)	165199050847816831	0 6 10 28 60 112 132 136 156 208 240 258 262 268	23132563514
SPT(14)	165199087816629157	0 42 46 70 76 82 102 154 174 180 186 210 214 256	60101375840
SPT(16)	165199088460624367	0 6 42 64 84 90 106 112 114 120 136 142 162 184 220 226	60745371050