Prime p₀= 293817060886954469 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 22 2 58 2 28 2 4 2 (?)
a_n: 0 2 18 20 42 44 102 104 132 134 138 140
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: [AF>EDLS] GGTF
db: batch=69, k=12, 16 22 58 28 4

SPT(14)	293817015949517701	0 16 18 28 58 60 70 78 88 90 120 130 132 148	-44937436768
SPT(14)	293817027742690063	0 24 28 34 58 66 76 108 118 126 150 156 160 184	-33144264406
SPT(14)	293817051230523929	0 44 54 108 138 224 240 248 264 350 380 434 444 488	-9656430540
SPT(14)	293817051635572489	0 12 40 48 78 114 118 204 208 244 274 282 310 322	-9251381980
SPT(14)	293817058035958397	0 36 42 92 110 132 140 252 260 282 300 350 356 392	-2850996072
SPT(14)	293817060470377219	0 12 18 88 100 114 124 198 208 222 234 304 310 322	-416577250
SPT(14)	293817061915559563	0 28 34 36 66 76 90 94 108 118 148 150 156 184	1028605094
SPT(14)	293817072951042041	0 20 32 38 48 66 86 102 122 140 150 156 168 188	12064087572
SPT(14)	293817092645375161	0 70 100 102 142 168 192 238 262 288 328 330 360 430	31758420692
SPT(14)	293817113767483081	0 10 28 48 102 112 142 168 198 208 262 282 300 310	52880528612
SPT(14)	293817128231397367	0 6 10 70 112 126 130 156 160 174 216 276 280 286	67344442898