Prime p₀= 28157969905991279 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 28 2 46 2 (?)
a_n: 0 2 12 14 48 50 102 104 132 134 180 182
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: 182
Found by: Matt J.
db: batch=65, k=12, 10 34 52 28 46

SPT(16)	28157913625101437	0 14 20 24 36 74 86 140 150 204 216 254 266 270 276 290	-56280889842
SPT(14)	28157929978315717	0 12 16 24 60 66 82 114 130 136 172 180 184 196	-39927675562
SPT(20)	28157942615683129	0 22 42 60 72 118 120 124 138 162 250 274 288 292 294 340 352 370 390 412	-27290308150
SPT(14)	28157951467533691	0 6 42 48 72 118 138 160 180 226 250 256 292 298	-18438457588
SPT(14)	28157960750212211	0 20 66 80 90 128 158 240 270 308 318 332 378 398	-9155779068
TPT(12)	28157967730039307	0 2 12 14 24 26 42 44 180 182 264 266	-2175951972
SPT(14)	28157974522106017	0 4 12 24 52 70 72 94 96 114 142 154 162 166	4616114738
SPT(14)	28158002835859843	0 24 58 84 88 150 160 168 178 240 244 270 304 328	32929868564
SPT(14)	28158014001953327	0 24 42 74 92 104 126 140 162 174 192 224 242 266	44095962048
SPT(14)	28158033304169911	0 28 48 60 130 132 160 228 256 258 328 340 360 388	63398178632
SPT(14)	28158034878538217	0 2 20 32 60 90 102 104 116 146 174 186 204 206	64972546938