Prime p₀= 51687931348506239 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 76 2 208 2 16 2 28 2 (?)
a_n: 0 2 42 44 120 122 330 332 348 350 378 380
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: 380
Found by: Egon olsen
db: batch=65, k=12, 40 76 208 16 28

SPT(16)	51687870483844183	0 28 30 54 84 94 108 114 124 130 144 154 184 208 210 238	-60864662056
SPT(14)	51687889429261831	0 12 42 58 70 72 118 120 166 168 180 196 226 238	-41919244408
SPT(14)	51687918608020307	0 26 30 54 86 90 156 200 266 270 302 326 330 356	-12740485932
SPT(14)	51687926276205413	0 8 56 84 90 96 134 150 188 194 200 228 276 284	-5072300826
SPT(14)	51687928938455389	0 12 24 34 54 72 84 100 112 130 150 160 172 184	-2410050850
SPT(14)	51687930154645063	0 30 66 70 88 100 114 130 144 156 174 178 214 244	-1193861176
SPT(14)	51687939619710167	0 12 14 20 44 50 72 152 174 180 204 210 212 224	8271203928
SPT(14)	51687940100488469	0 12 60 72 74 84 92 162 170 180 182 194 242 254	8751982230
TPT(12)	51687970343945231	0 2 18 20 30 32 90 92 156 158 168 170	38995438992
SPT(14)	51687982809687629	0 30 48 62 98 194 210 212 228 324 360 374 392 422	51461181390
SPT(14)	51688040682803741	0 38 72 90 146 150 168 170 188 192 248 266 300 338	109334297502