Prime p₀= 1578864277762778219 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: xii5ku
db: batch=78, k=12, 2 10 2 28 2 4

SPT(16)	1578863329904817947	0 2 6 60 104 116 132 144 182 194 210 222 266 320 324 326	-947857960272
STPT(10)	1578863337557666351	0 2 36 38 78 80 120 122 156 158	-940205111868
STPT(10)	1578863580261849197	0 2 30 32 42 44 54 56 84 86	-697500929022
STPT(10)	1578863716868863949	0 2 18 20 30 32 42 44 60 62	-560893914270
STPT(10)	1578863864831352509	0 2 48 50 90 92 132 134 180 182	-412931425710
STPT(10)	1578864010789452461	0 2 6 8 48 50 90 92 96 98	-266973325758
STPT(10)	1578864328100371997	0 2 24 26 42 44 60 62 84 86	50337593778
SPT(16)	1578864341357268839	0 12 48 60 80 98 108 132 200 224 234 252 272 284 320 332	63594490620
SPT(16)	1578864724789218731	0 36 60 78 98 116 156 168 230 242 282 300 320 338 362 398	447026440512
SPT(16)	1578865023432583111	0 10 60 70 88 102 106 142 156 192 196 210 228 238 288 298	745669804892
SPT(16)	1578865036223541317	0 54 60 72 80 104 122 132 164 174 192 216 224 236 242 296	758460763098