Prime p₀= 2565094870903423697 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: philip-in-hong kong
db: batch=82, k=12, 2 10 2 40 2 4

SPT(16)	2565093315752368139	0 44 48 50 68 74 92 102 170 180 198 204 222 224 228 272	-1555151055558
STPT(10)	2565093489372084491	0 2 6 8 18 20 30 32 36 38	-1381531339206
STPT(10)	2565094199287742999	0 2 30 32 60 62 90 92 120 122	-671615680698
STPT(10)	2565094242586325501	0 2 6 8 18 20 30 32 36 38	-628317098196
TPT(14)	2565094309773662129	0 2 72 74 138 140 222 224 240 242 348 350 372 374	-561129761568
STPT(10)	2565094561010678861	0 2 90 92 108 110 126 128 216 218	-309892744836
SPT(16)	2565094937307352663	0 30 58 64 78 100 118 154 210 246 264 286 300 306 334 364	66403928966
SPT(16)	2565095012435445671	0 2 20 30 38 48 80 90 98 108 140 150 158 168 186 188	141532021974
STPT(10)	2565095030871851897	0 2 42 44 72 74 102 104 144 146	159968428200
SPT(16)	2565096057672506087	0 30 36 74 86 164 174 176 240 242 252 330 342 380 386 416	1186769082390
TPT(14)	2565096112270523537	0 2 30 32 144 146 222 224 234 236 312 314 324 326	1241367099840