Prime p₀= 1978594364143306277 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 58 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 102 104 132 134 144 146
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: vaughan
db: batch=80, k=12, 2 10 2 28 2 58

STPT(10)	1978592918015871299	0 2 18 20 30 32 42 44 60 62	-1446127434978
SPT(16)	1978593484451250479	0 24 38 60 72 114 140 150 212 222 248 290 302 324 338 362	-879692055798
STPT(10)	1978593765612710957	0 2 42 44 72 74 102 104 144 146	-598530595320
STPT(10)	1978594058509073021	0 2 30 32 78 80 126 128 156 158	-305634233256
SPT(16)	1978594223284267709	0 38 50 54 80 84 134 138 194 198 248 252 278 282 294 332	-140859038568
SPT(16)	1978594281078278947	0 4 40 46 52 72 84 94 132 142 154 174 180 186 222 226	-83065027330
SPT(16)	1978594679837651357	0 6 44 56 62 72 96 110 126 140 164 174 180 192 230 236	315694345080
SPT(16)	1978595181597265193	0 14 54 138 176 186 198 210 254 266 278 288 326 410 450 464	817453958916
SPT(16)	1978595306564487101	0 32 72 78 102 128 152 162 176 186 210 236 260 266 306 338	942421180824
SPT(16)	1978595316283726013	0 14 18 26 38 68 104 126 128 150 186 216 228 236 240 254	952140419736
STPT(10)	1978595593953721019	0 2 12 14 90 92 168 170 180 182	1229810414742