Prime p₀= 203876398739476751 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 28 2 40 2 16 2 10 2 (?)
a_n: 0 2 66 68 96 98 138 140 156 158 168 170
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: LeChat51X
db: batch=69, k=12, 64 28 40 16 10

SPT(14)	203876332593021527	0 36 84 102 104 116 126 140 150 162 164 182 230 266	-66146455224
TPT(12)	203876334518914481	0 2 6 8 30 32 48 50 90 92 156 158	-64220562270
SPT(14)	203876340801427783	0 84 100 130 150 168 220 228 280 298 318 348 364 448	-57938048968
SPT(14)	203876343155983753	0 10 30 66 76 90 118 156 184 198 208 244 264 274	-55583492998
SPT(14)	203876365592849731	0 42 60 70 82 108 148 150 190 216 228 238 256 298	-33146627020
SPT(14)	203876392726141853	0 14 20 158 188 204 230 258 284 300 330 468 474 488	-6013334898
SPT(14)	203876405887131479	0 8 20 38 54 74 98 144 168 188 204 222 234 242	7147654728
SPT(14)	203876406684448151	0 38 42 90 92 98 110 150 162 168 170 218 222 260	7944971400
SPT(14)	203876408069001757	0 40 46 66 96 144 196 204 256 304 334 354 360 400	9329525006
SPT(14)	203876422775410739	0 44 50 74 102 120 134 168 182 200 228 252 258 302	24035933988
SPT(14)	203876430499017581	0 68 96 110 138 140 170 186 216 218 246 260 288 356	31759540830