Prime p₀= 27718799058095021 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 22 2 16 2 10 2 94 2 (?)
a_n: 0 2 6 8 30 32 48 50 60 62 156 158
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: 158
Found by: ChelseaOilman
db: batch=65, k=12, 4 22 16 10 94

SPT(14)	27718770345385837	0 34 42 54 82 90 102 112 124 132 160 172 180 214	-28712709184
SPT(14)	27718773058243361	0 30 50 66 108 152 212 216 276 320 362 378 398 428	-25999851660
SPT(14)	27718784070758273	0 50 56 78 120 146 150 164 168 194 236 258 264 314	-14987336748
TPT(12)	27718784236928009	0 2 12 14 30 32 162 164 168 170 198 200	-14821167012
SPT(14)	27718791303770737	0 36 46 66 106 162 172 234 244 300 340 360 370 406	-7754324284
TPT(12)	27718794811891241	0 2 36 38 48 50 120 122 126 128 156 158	-4246203780
SPT(14)	27718802345155373	0 6 18 50 116 168 176 180 188 240 306 338 350 356	3287060352
TPT(12)	27718802420938469	0 2 42 44 120 122 150 152 162 164 198 200	3362843448
SPT(14)	27718816349753779	0 4 24 52 138 144 210 232 298 304 390 418 438 442	17291658758
SPT(14)	27718838035492927	0 4 42 60 70 72 96 100 124 126 136 154 192 196	38977397906
SPT(14)	27718840774979591	0 6 20 32 42 56 90 98 132 146 156 168 182 188	41716884570