Prime p₀= 341676372180014591 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 106 2 22 2 4 2 52 2 (?)
a_n: 0 2 18 20 126 128 150 152 156 158 210 212
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: 212
Found by: Cruncher Pete
db: batch=70, k=12, 16 106 22 4 52

SPT(16)	341676338433624743	0 30 38 44 80 120 164 170 174 180 224 264 300 306 314 344	-33746389848
SPT(14)	341676346644824003	0 8 14 26 30 36 66 128 158 164 168 180 186 194	-25535190588
SPT(14)	341676347620480919	0 12 30 48 72 92 102 170 180 200 224 242 260 272	-24559533672
TPT(12)	341676350537604629	0 2 30 32 108 110 180 182 222 224 240 242	-21642409962
SPT(16)	341676367261827293	0 24 38 50 80 90 104 126 128 150 164 174 204 216 230 254	-4918187298
SPT(14)	341676368828959867	0 16 54 72 82 124 132 184 192 234 244 262 300 316	-3351054724
SPT(14)	341676385112685737	0 20 30 36 56 80 90 122 132 156 176 182 192 212	12932671146
TPT(12)	341676396171201659	0 2 12 14 120 122 168 170 282 284 360 362	23991187068
SPT(18)	341676405472177121	0 12 78 80 110 120 132 168 170 258 260 296 308 318 348 350 416 428	33292162530
SPT(14)	341676455422330159	0 24 54 108 138 160 162 250 252 274 304 358 388 412	83242315568
SPT(14)	341676463598010383	0 14 24 104 110 174 234 506 566 630 636 716 726 740	91417995792