Prime p₀= 43978680841236641 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 10 2 28 2 94 2 58 2 (?)
a_n: 0 2 78 80 90 92 120 122 216 218 276 278
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: Egon olsen
db: batch=65, k=12, 76 10 28 94 58

SPT(14)	43978570568344813	0 10 36 46 64 66 90 214 238 240 258 268 294 304	-110272891828
SPT(14)	43978578837814987	0 60 90 112 126 136 150 196 210 220 234 256 286 346	-102003421654
SPT(14)	43978580282519999	0 32 48 62 90 98 120 152 174 182 210 224 240 272	-100558716642
SPT(14)	43978583409998147	0 14 32 36 42 72 144 152 224 254 260 264 282 296	-97431238494
SPT(14)	43978616316479627	0 2 32 44 54 84 96 230 242 272 282 294 324 326	-64524757014
SPT(14)	43978665600769919	0 18 38 42 48 78 110 132 164 194 200 204 224 242	-15240466722
SPT(14)	43978685986188097	0 16 30 34 42 72 96 160 184 214 222 226 240 256	5144951456
SPT(16)	43978687797040531	0 118 142 156 168 178 196 208 210 222 240 250 262 276 300 418	6955803890
TPT(12)	43978690250676941	0 2 6 8 90 92 126 128 156 158 168 170	9409440300
SPT(14)	43978697201994941	0 8 12 42 60 122 140 180 198 260 278 308 312 320	16360758300
SPT(14)	43978699695682183	0 4 6 18 24 40 48 256 264 280 286 298 300 304	18854445542