Prime p₀= 2432858772876581009 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=12, 2 40 2 4 2 22

SPT(16)	2432857008505587437	0 42 50 86 134 140 174 222 254 302 336 342 390 426 434 476	-1764370993572
SPT(16)	2432857032479149247	0 6 30 54 60 74 90 116 180 206 222 236 242 266 290 296	-1740397431762
SPT(16)	2432857410813473947	0 64 132 156 160 162 186 252 304 370 394 396 400 424 492 556	-1362063107062
STPT(10)	2432857503030986387	0 2 42 44 72 74 102 104 144 146	-1269845594622
SPT(16)	2432857601577892337	0 56 84 102 200 266 272 296 300 324 330 396 494 512 540 596	-1171298688672
STPT(10)	2432858540097193259	0 2 18 20 60 62 102 104 120 122	-232779387750
STPT(10)	2432858841407954987	0 2 30 32 42 44 54 56 84 86	68531373978
SPT(16)	2432858888000167849	0 4 34 40 88 102 132 144 148 160 190 204 252 258 288 292	115123586840
SPT(16)	2432858959802990287	0 22 30 46 84 90 112 142 174 204 226 232 270 286 294 316	186926409278
SPT(16)	2432859021329857741	0 46 82 102 132 166 168 178 210 220 222 256 286 306 342 388	248453276732
SPT(16)	2432859338504437001	0 18 68 78 90 98 120 158 162 200 222 230 242 252 302 320	565627855992