Prime p₀= 2245761260589959837 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: Penguin
db: batch=81, k=12, 2 28 2 28 2 10

STPT(10)	2245760342473334969	0 2 42 44 60 62 78 80 120 122	-918116624868
SPT(16)	2245760372028963679	0 18 108 112 162 178 208 220 282 294 324 340 390 394 484 502	-888560996158
SPT(16)	2245760417216433379	0 28 52 58 72 84 160 168 184 192 268 280 294 300 324 352	-843373526458
STPT(10)	2245760666802781547	0 2 42 44 72 74 102 104 144 146	-593787178290
SPT(16)	2245760803060302271	0 46 58 60 66 76 90 126 160 196 210 220 226 228 240 286	-457529657566
TPT(14)	2245760845299293051	0 2 36 38 90 92 156 158 168 170 198 200 228 230	-415290666786
STPT(10)	2245761462527682101	0 2 36 38 78 80 120 122 156 158	201937722264
SPT(16)	2245761469919262661	0 42 70 78 100 108 126 132 136 142 160 168 190 198 226 268	209329302824
STPT(10)	2245761514355375459	0 2 42 44 60 62 78 80 120 122	253765415622
SPT(16)	2245761936388013363	0 20 26 48 50 56 90 126 158 194 228 234 236 258 264 284	675798053526
STPT(10)	2245762004045262119	0 2 18 20 30 32 42 44 60 62	743455302282