Prime p₀= 141985445405606849 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 76 2 76 2 28 2 58 2 (?)
a_n: 0 2 12 14 90 92 168 170 198 200 258 260
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: 260
Found by: emoga
db: batch=67, k=12, 10 76 76 28 58

SPT(14)	141985369270049581	0 16 28 58 78 148 156 160 168 238 258 288 300 316	-76135557268
SPT(14)	141985384437493937	0 14 20 60 74 104 126 134 156 186 200 240 246 260	-60968112912
SPT(14)	141985394106286039	0 12 22 58 64 108 124 168 184 228 234 270 280 292	-51299320810
SPT(14)	141985402608037717	0 16 24 42 60 106 126 130 150 196 214 232 240 256	-42797569132
SPT(14)	141985403723801909	0 8 38 90 138 152 162 248 258 272 320 372 402 410	-41681804940
SPT(14)	141985414687546321	0 12 40 48 78 82 106 222 246 250 280 288 316 328	-30718060528
SPT(14)	141985465945538779	0 12 18 28 42 54 70 72 88 100 114 124 130 142	20539931930
SPT(14)	141985498510232957	0 24 42 62 90 144 164 210 230 284 312 332 350 374	53104626108
SPT(14)	141985500394906057	0 10 24 42 54 60 66 130 136 142 154 172 186 196	54989299208
SPT(14)	141985518321941963	0 6 18 48 78 86 120 236 270 278 308 338 350 356	72916335114
SPT(14)	141985535827163957	0 36 56 84 104 120 126 194 200 216 236 264 284 320	90421557108