Prime p₀= 85751137208901419 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 82 2 88 2 136 2 40 2 (?)
a_n: 0 2 48 50 132 134 222 224 360 362 402 404
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: 404
Found by: nenym
db: batch=67, k=12, 46 82 88 136 40

TPT(16)	85751085381556919	0 2 30 32 42 44 60 62 78 80 162 164 198 200 228 230	-51827344500
STPT(10)	85751086501043837	0 2 30 32 42 44 54 56 84 86	-50707857582
TPT(12)	85751089738506089	0 2 18 20 60 62 72 74 78 80 162 164	-47470395330
SPT(14)	85751094928893547	0 10 24 30 52 90 102 124 136 174 196 202 216 226	-42280007872
TPT(12)	85751099801761397	0 2 24 26 42 44 90 92 174 176 222 224	-37407140022
SPT(14)	85751126852938189	0 24 30 34 42 52 60 82 90 100 108 112 118 142	-10355963230
SPT(14)	85751154986483773	0 100 118 138 150 156 160 174 178 184 196 216 234 334	17777582354
SPT(14)	85751157967774109	0 74 108 110 144 150 152 180 182 188 222 224 258 332	20758872690
SPT(14)	85751173769532281	0 2 62 72 128 140 152 156 168 180 236 246 306 308	36560630862
SPT(14)	85751177156199623	0 8 38 56 60 66 78 98 110 116 120 138 168 176	39947298204
SPT(14)	85751187876951799	0 12 42 60 112 144 154 270 280 312 364 382 412 424	50668050380