Prime p₀= 2851388750192207 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 76 2 40 2 46 2 22 2 (?)
a_n: 0 2 42 44 120 122 162 164 210 212 234 236
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: 236
Found by: paulteo
db: batch=61, k=12, 40 76 40 46 22

SPT(14)	2851371139294021	0 10 40 78 82 100 102 106 108 126 130 168 198 208	-17610898186
SPT(14)	2851376845537889	0 8 18 30 50 60 92 120 152 162 182 194 204 212	-11904654318
SPT(14)	2851379973554207	0 2 12 14 30 44 56 90 102 116 132 134 144 146	-8776638000
SPT(14)	2851382489716219	0 4 60 64 82 130 144 148 162 210 228 232 288 292	-6260475988
SPT(14)	2851387102292621	0 36 50 78 102 116 132 146 162 176 200 228 242 278	-1647899586
SPT(14)	2851388218609187	0 14 20 80 92 132 144 332 344 384 396 456 462 476	-531583020
SPT(14)	2851400750589379	0 22 28 60 70 108 112 150 154 192 202 234 240 262	12000397172
TPT(12)	2851403089263191	0 2 78 80 108 110 126 128 138 140 156 158	14339070984
SPT(16)	2851409054541389	0 38 44 80 108 138 144 180 212 248 254 284 312 348 354 392	20304349182
SPT(14)	2851430036629931	0 12 18 30 42 110 150 170 210 278 290 302 308 320	41286437724
SPT(14)	2851434945914873	0 26 48 54 68 80 86 108 114 126 140 146 168 194	46195722666