Prime p₀= 36574095540799457 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 22 2 94 2 58 2 10 2 (?)
a_n: 0 2 60 62 84 86 180 182 240 242 252 254
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: 254
Found by: ChelseaOilman
db: batch=65, k=12, 58 22 94 58 10

SPT(14)	36574054640423513	0 14 30 56 78 80 114 140 174 176 198 224 240 254	-40900375944
TPT(12)	36574057182683729	0 2 78 80 90 92 102 104 168 170 228 230	-38358115728
SPT(14)	36574057744372633	0 16 18 30 88 90 94 150 154 156 214 226 228 244	-37796426824
TPT(14)	36574063147424501	0 2 18 20 96 98 150 152 156 158 210 212 228 230	-32393374956
SPT(14)	36574064245114009	0 64 102 120 148 154 168 214 228 234 262 280 318 382	-31295685448
SPT(14)	36574065621019123	0 30 60 66 88 94 96 238 240 246 268 274 304 334	-29919780334
SPT(14)	36574103242459421	0 2 60 80 86 90 116 132 158 162 168 188 246 248	7701659964
SPT(16)	36574131134601157	0 4 34 52 70 94 96 172 174 250 252 276 294 312 342 346	35593801700
TPT(12)	36574155856120151	0 2 96 98 120 122 216 218 258 260 276 278	60315320694
SPT(14)	36574156347285253	0 48 58 60 78 118 120 124 126 166 184 186 196 244	60806485796
SPT(16)	36574172509925201	0 2 8 12 32 48 78 90 140 152 182 198 218 222 228 230	76969125744