Prime p₀= 247779771284049131 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 64 2 10 2 70 2 58 2 (?)
a_n: 0 2 30 32 96 98 108 110 180 182 240 242
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: 242
Found by: EarlyBird@Zircons
db: batch=69, k=12, 28 64 10 70 58

SPT(14)	247779724909478171	0 50 60 62 102 116 128 300 312 326 366 368 378 428	-46374570960
SPT(14)	247779727473051797	0 20 92 116 122 126 132 134 140 144 150 174 246 266	-43810997334
STPT(10)	247779748324191779	0 2 78 80 150 152 222 224 300 302	-22959857352
SPT(14)	247779753181851551	0 6 20 30 38 96 126 152 182 240 248 258 272 278	-18102197580
TPT(12)	247779758991569237	0 2 30 32 144 146 210 212 240 242 312 314	-12292479894
SPT(16)	247779765446990407	0 30 82 96 100 154 156 184 192 220 222 276 280 294 346 376	-5837058724
SPT(14)	247779776120325809	0 8 38 50 78 90 110 120 140 152 180 192 222 230	4836276678
TPT(12)	247779780231036869	0 2 72 74 132 134 228 230 252 254 342 344	8946987738
SPT(14)	247779790377771853	0 4 10 18 40 70 88 90 108 138 160 168 174 178	19093722722
SPT(14)	247779808345050491	0 6 20 56 86 90 110 132 152 156 186 222 236 242	37061001360
TPT(12)	247779812057791217	0 2 42 44 84 86 114 116 150 152 162 164	40773742086