Prime p₀= 43978690250676941 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 82 2 34 2 28 2 10 2 (?)
a_n: 0 2 6 8 90 92 126 128 156 158 168 170
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: 170
Found by: Egon olsen
db: batch=65, k=12, 4 82 34 28 10

SPT(14)	43978583409998147	0 14 32 36 42 72 144 152 224 254 260 264 282 296	-106840678794
SPT(14)	43978616316479627	0 2 32 44 54 84 96 230 242 272 282 294 324 326	-73934197314
SPT(14)	43978665600769919	0 18 38 42 48 78 110 132 164 194 200 204 224 242	-24649907022
TPT(12)	43978680841236641	0 2 78 80 90 92 120 122 216 218 276 278	-9409440300
SPT(14)	43978685986188097	0 16 30 34 42 72 96 160 184 214 222 226 240 256	-4264488844
SPT(16)	43978687797040531	0 118 142 156 168 178 196 208 210 222 240 250 262 276 300 418	-2453636410
SPT(14)	43978697201994941	0 8 12 42 60 122 140 180 198 260 278 308 312 320	6951318000
SPT(14)	43978699695682183	0 4 6 18 24 40 48 256 264 280 286 298 300 304	9445005242
SPT(14)	43978711686266519	0 18 32 78 108 120 222 248 350 362 392 438 452 470	21435589578
SPT(14)	43978722322923013	0 16 90 108 150 156 160 174 178 184 226 244 318 334	32072246072
SPT(14)	43978727173178093	0 6 8 18 44 48 60 74 86 90 116 126 128 134	36922501152