Prime p₀= 4364297279645142899 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: arkiss
db: batch=85, k=12, 2 10 2 28 2 4

STPT(10)	4364294524640176727	0 2 42 44 72 74 102 104 144 146	-2755004966172
SPT(16)	4364294919501983131	0 18 42 46 108 112 130 136 222 228 246 250 312 316 340 358	-2360143159768
SPT(16)	4364294982255671581	0 6 18 48 60 100 186 238 258 310 396 436 448 478 490 496	-2297389471318
SPT(16)	4364296021286848057	0 52 54 60 82 102 112 154 192 234 244 264 286 292 294 346	-1258358294842
SPT(16)	4364296301919983609	0 8 12 20 38 68 78 98 144 164 174 204 222 230 234 242	-977725159290
TPT(14)	4364296314591379721	0 2 36 38 78 80 90 92 120 122 168 170 240 242	-965053763178
SPT(16)	4364297350013813813	0 38 68 108 168 194 200 206 228 234 240 266 326 366 396 434	70368670914
SPT(16)	4364297696374898003	0 30 44 50 54 128 156 170 234 248 276 350 354 360 374 404	416729755104
STPT(10)	4364297795384583767	0 2 12 14 42 44 72 74 84 86	515739440868
STPT(10)	4364298237628919801	0 2 30 32 78 80 126 128 156 158	957983776902
STPT(10)	4364298420348943631	0 2 36 38 78 80 120 122 156 158	1140703800732