Prime p₀= 234894311873335391 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 34 2 70 2 10 2 16 2 (?)
a_n: 0 2 60 62 96 98 168 170 180 182 198 200
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: 200
Found by: Megacruncher
db: batch=69, k=12, 58 34 70 10 16

SPT(14)	234894265694645489	0 18 30 32 38 108 122 150 164 234 240 242 254 272	-46178689902
SPT(14)	234894269533678633	0 4 40 58 138 180 196 228 244 286 366 384 420 424	-42339656758
SPT(14)	234894270150119453	0 74 90 98 108 146 234 350 438 476 486 494 510 584	-41723215938
SPT(14)	234894289467388073	0 14 50 80 84 90 120 194 224 230 234 264 300 314	-22405947318
SPT(14)	234894292672295077	0 6 70 90 120 132 154 162 184 196 226 246 310 316	-19201040314
TPT(12)	234894304047039941	0 2 66 68 78 80 108 110 120 122 150 152	-7826295450
TPT(12)	234894353410404641	0 2 30 32 48 50 90 92 126 128 156 158	41537069250
SPT(14)	234894362605163929	0 42 48 72 100 108 120 232 244 252 280 304 310 352	50731828538
SPT(14)	234894367887581257	0 16 42 64 70 114 120 136 142 186 192 214 240 256	56014245866
SPT(14)	234894371868706723	0 10 24 40 66 90 138 166 214 238 264 280 294 304	59995371332
SPT(14)	234894383588593483	0 6 40 54 60 76 88 96 108 124 130 144 178 184	71715258092