Prime p₀= 136570697588588309 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 10 2 70 2 64 2 22 2 (?)
a_n: 0 2 48 50 60 62 132 134 198 200 222 224
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: 224
Found by: emoga
db: batch=67, k=12, 46 10 70 64 22

SPT(14)	136570635830984207	0 14 26 56 132 144 146 150 152 164 240 270 282 296	-61757604102
SPT(14)	136570672348507513	0 58 64 78 88 106 120 124 138 156 166 180 186 244	-25240080796
SPT(14)	136570673169860581	0 12 22 42 60 72 100 108 136 148 166 186 196 208	-24418727728
SPT(14)	136570684252899713	0 6 26 68 90 104 108 176 180 194 216 258 278 284	-13335688596
SPT(14)	136570694074489811	0 6 50 66 80 92 108 110 126 138 152 168 212 218	-3514098498
SPT(16)	136570696701959857	0 16 22 60 112 120 156 184 192 220 256 264 316 354 360 376	-886628452
SPT(14)	136570708583244679	0 60 84 102 132 172 198 274 300 340 370 388 412 472	10994656370
SPT(14)	136570716036313249	0 64 70 84 88 162 174 208 220 294 298 312 318 382	18447724940
SPT(14)	136570738367077193	0 50 60 78 98 110 134 180 204 216 236 254 264 314	40778488884
TPT(12)	136570742174503367	0 2 12 14 54 56 84 86 90 92 120 122	44585915058
SPT(14)	136570759672518481	0 10 160 192 228 256 258 280 282 310 346 378 528 538	62083930172