Prime p₀= 2565589064702207777 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: amargo133
db: batch=82, k=12, 2 28 2 28 2 40

SPT(16)	2565587821958766109	0 42 64 70 94 168 192 214 228 250 274 348 372 378 400 442	-1242743441668
TPT(14)	2565588397696825769	0 2 30 32 48 50 102 104 168 170 240 242 270 272	-667005382008
SPT(16)	2565588411788546717	0 2 14 66 96 170 200 234 242 276 306 380 410 462 474 476	-652913661060
SPT(16)	2565588433486156733	0 14 48 50 68 90 96 156 158 218 224 246 264 266 300 314	-631216051044
STPT(10)	2565588446982838559	0 2 18 20 60 62 102 104 120 122	-617719369218
SPT(16)	2565588469155267637	0 6 34 64 76 90 130 132 154 156 196 210 222 252 280 286	-595546940140
TPT(14)	2565589064702207777	0 2 30 32 60 62 102 104 132 134 162 164 210 212	0
SPT(16)	2565589544382450629	0 8 14 18 50 114 128 138 140 150 164 228 260 264 270 278	479680242852
SPT(16)	2565589867162741511	0 2 32 60 66 80 102 110 198 206 228 242 248 276 306 308	802460533734
SPT(16)	2565590567775608179	0 34 70 108 114 120 148 190 198 240 268 274 280 318 354 388	1503073400402
SPT(16)	2565590628366998003	0 50 74 78 98 114 128 176 198 246 260 276 296 300 324 374	1563664790226