Prime p₀= 18956903720205287 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 40 2 10 2 34 2 40 2 (?)
a_n: 0 2 90 92 132 134 144 146 180 182 222 224
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: 224
Found by: gaballus
db: batch=62, k=12, 88 40 10 34 40

SPT(14)	18956850077926289	0 14 20 68 90 110 114 128 132 152 174 222 228 242	-53642278998
SPT(14)	18956851097251267	0 22 36 40 82 114 142 144 172 204 246 250 264 286	-52622954020
SPT(14)	18956866425831427	0 16 34 70 100 106 132 184 210 216 246 282 300 316	-37294373860
SPT(14)	18956875691332309	0 12 30 42 52 70 108 142 180 198 208 220 238 250	-28028872978
SPT(14)	18956890805047171	0 16 28 72 126 160 162 166 168 202 256 300 312 328	-12915158116
SPT(14)	18956900781079517	0 14 32 36 60 62 110 126 174 176 200 204 222 236	-2939125770
SPT(14)	18956916590195807	0 26 54 60 66 146 150 230 234 314 320 326 354 380	12869990520
SPT(14)	18956931327442139	0 20 30 42 80 92 98 114 120 132 170 182 192 212	27607236852
TPT(12)	18956932170115271	0 2 36 38 78 80 90 92 120 122 138 140	28449909984
SPT(16)	18956940452533823	0 6 48 50 78 90 108 116 150 158 176 188 216 218 260 266	36732328536
SPT(14)	18956940756652993	0 24 34 40 48 54 58 66 70 76 84 90 100 124	37036447706