Prime p₀= 201462109051678919 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 10 2 4 2 (?)
a_n: 0 2 42 44 78 80 120 122 132 134 138 140
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: 140
Found by: Ralfy
db: batch=69, k=12, 40 34 40 10 4

SPT(14)	201462006470871127	0 10 42 76 90 114 130 156 172 196 210 244 276 286	-102580807792
SPT(14)	201462027888181087	0 54 114 156 186 192 202 234 244 250 280 322 382 436	-81163497832
SPT(14)	201462057080847691	0 42 112 156 172 192 196 216 220 240 256 300 370 412	-51970831228
SPT(14)	201462083627364463	0 60 66 70 88 144 150 184 190 246 264 268 274 334	-25424314456
TPT(12)	201462086468809631	0 2 36 38 48 50 168 170 210 212 246 248	-22582869288
SPT(14)	201462104528580101	0 42 56 68 92 128 152 156 180 216 240 252 266 308	-4523098818
SPT(16)	201462157557201647	0 14 30 44 66 72 110 116 150 156 194 200 222 236 252 266	48505522728
STPT(10)	201462180049250297	0 2 60 62 72 74 84 86 144 146	70997571378
SPT(14)	201462185383088327	0 36 62 80 146 164 176 180 192 210 276 294 320 356	76331409408
SPT(14)	201462200402413523	0 14 86 96 104 110 138 146 174 180 188 198 270 284	91350734604
SPT(14)	201462204917592811	0 30 40 52 76 82 100 108 126 132 156 168 178 208	95865913892