Prime p₀= 51685414017201719 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 4 2 28 2 (?)
a_n: 0 2 18 20 60 62 102 104 108 110 138 140
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: Egon olsen
db: batch=65, k=12, 16 40 40 4 28

SPT(14)	51685343369025607	0 40 42 52 114 160 180 196 216 262 324 334 336 376	-70648176112
TPT(12)	51685348005034571	0 2 36 38 48 50 78 80 120 122 216 218	-66012167148
SPT(14)	51685362848866081	0 40 48 76 88 118 168 268 318 348 360 388 396 436	-51168335638
SPT(14)	51685380130386349	0 58 78 84 100 162 172 180 190 252 268 274 294 352	-33886815370
SPT(14)	51685386227617913	0 18 50 56 78 80 84 110 114 116 138 144 176 194	-27789583806
SPT(14)	51685411729636681	0 6 16 28 36 52 58 90 96 112 120 132 142 148	-2287565038
SPT(14)	51685420983075301	0 16 60 78 88 156 192 196 232 300 310 328 372 388	6965873582
SPT(16)	51685434210134821	0 12 82 88 120 132 196 208 210 222 286 298 330 336 406 418	20192933102
SPT(14)	51685439316535147	0 36 40 82 106 112 132 160 180 186 210 252 256 292	25299333428
SPT(14)	51685446583256329	0 30 34 42 72 82 84 88 90 100 130 138 142 172	32566054610
SPT(14)	51685467216101077	0 36 42 60 102 120 156 160 196 214 256 274 280 316	53198899358