Prime p₀= 526724145186451337 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 46 2 10 2 (?)
a_n: 0 2 12 14 24 26 54 56 102 104 114 116
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: 116
Found by: nenym
db: batch=71, k=12, 10 10 28 46 10

SPT(14)	526724097362398093	0 54 60 70 90 130 148 186 204 244 264 274 280 334	-47824053244
TPT(12)	526724098690565717	0 2 12 14 30 32 54 56 60 62 144 146	-46495885620
SPT(14)	526724112301275143	0 6 48 78 90 98 146 198 246 254 266 296 338 344	-32885176194
SPT(14)	526724112969135623	0 26 90 210 260 300 314 330 344 384 434 554 618 644	-32217315714
SPT(14)	526724128597491911	0 30 32 42 72 120 128 132 140 188 218 228 230 260	-16588959426
SPT(14)	526724129012463397	0 4 36 42 52 70 72 94 96 114 124 130 162 166	-16173987940
SPT(14)	526724172768715321	0 28 46 58 72 112 126 142 156 196 210 222 240 268	27582263984
TPT(12)	526724224063800557	0 2 12 14 54 56 114 116 210 212 222 224	78877349220
SPT(14)	526724227518502873	0 6 18 40 60 70 88 96 114 124 144 166 178 184	82332051536
SPT(14)	526724251100242837	0 6 12 46 70 120 126 130 136 186 210 244 250 256	105913791500
SPT(14)	526724256436927739	0 72 108 110 144 158 182 210 234 248 282 284 320 392	111250476402