Prime p₀= 36059784333334901 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 64 2 70 2 40 2 34 2 (?)
a_n: 0 2 60 62 126 128 198 200 240 242 276 278
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: 278
Found by: Farscape
db: batch=65, k=12, 58 64 70 40 34

SPT(14)	36059739495168959	0 12 50 72 78 120 150 152 182 224 230 252 290 302	-44838165942
SPT(14)	36059742121514549	0 18 32 42 44 78 120 152 194 228 230 240 254 272	-42211820352
SPT(16)	36059748539103623	0 36 54 60 66 104 110 116 168 174 180 218 224 230 248 284	-35794231278
SPT(16)	36059759117691161	0 20 30 56 68 80 140 146 150 156 216 228 240 266 276 296	-25215643740
SPT(14)	36059760836464819	0 4 42 84 88 90 112 150 172 174 178 220 258 262	-23496870082
STPT(10)	36059770484356649	0 2 18 20 30 32 42 44 60 62	-13848978252
SPT(14)	36059802347074577	0 14 24 30 74 84 114 122 152 162 206 212 222 236	18013739676
SPT(14)	36059805211658311	0 30 42 52 58 72 108 130 166 180 186 196 208 238	20878323410
TPT(12)	36059806793634341	0 2 48 50 90 92 156 158 168 170 186 188	22460299440
SPT(14)	36059821150562681	0 6 20 42 62 72 90 92 110 120 140 162 176 182	36817227780
SPT(14)	36059830803777311	0 18 26 32 42 128 152 156 180 266 276 282 290 308	46470442410