Prime p₀= 331324021688023379 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 64 2 40 2 16 2 22 2 (?)
a_n: 0 2 12 14 78 80 120 122 138 140 162 164
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: 164
Found by: RFGuy_KCCO
db: batch=70, k=12, 10 64 40 16 22

SPT(14)	331323975950213003	0 66 80 86 90 98 116 198 216 224 228 234 248 314	-45737810376
SPT(14)	331323986746012879	0 24 28 40 42 64 78 154 168 190 192 204 208 232	-34942010500
TPT(12)	331324000205948117	0 2 90 92 132 134 174 176 240 242 294 296	-21482075262
SPT(14)	331324003782008161	0 28 30 40 46 58 106 162 210 222 228 238 240 268	-17906015218
SPT(14)	331324006479115361	0 20 26 32 60 90 92 150 152 182 210 216 222 242	-15208908018
TPT(12)	331324006994243621	0 2 66 68 78 80 210 212 288 290 336 338	-14693779758
SPT(14)	331324026189891827	0 32 50 110 134 144 152 192 200 210 234 294 312 344	4501868448
TPT(12)	331324035904118237	0 2 54 56 162 164 192 194 264 266 294 296	14216094858
SPT(14)	331324047920131033	0 10 34 36 48 70 76 78 84 106 118 120 144 154	26232107654
TPT(12)	331324063813548821	0 2 78 80 120 122 138 140 240 242 246 248	42125525442
SPT(16)	331324067551658537	0 54 74 102 140 186 300 332 384 416 530 576 614 642 662 716	45863635158