Prime p₀= 2808373574283776867 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2808371721235119331	0 48 52 66 172 178 276 298 300 322 420 426 532 546 550 598	-1853048657536
STPT(10)	2808372636098048021	0 2 36 38 78 80 120 122 156 158	-938185728846
TPT(14)	2808372643392284711	0 2 78 80 120 122 150 152 198 200 210 212 246 248	-930891492156
TPT(14)	2808372890255170697	0 2 30 32 42 44 54 56 90 92 180 182 294 296	-684028606170
STPT(10)	2808373142110327679	0 2 18 20 30 32 42 44 60 62	-432173449188
SPT(16)	2808373190233006283	0 18 26 44 54 68 90 104 150 164 186 200 210 228 236 254	-384050770584
TPT(14)	2808373574283776867	0 2 42 44 60 62 84 86 102 104 144 146 174 176	0
SPT(16)	2808373644097711057	0 42 54 70 84 96 114 124 162 172 190 202 216 232 244 286	69813934190
STPT(10)	2808373790810406701	0 2 36 38 78 80 120 122 156 158	216526629834
TPT(14)	2808374524251985727	0 2 24 26 42 44 132 134 150 152 162 164 210 212	949968208860
SPT(16)	2808374632554908591	0 20 30 32 62 66 80 152 186 258 272 276 306 308 318 338	1058271131724