Prime p₀= 1678614540332029589 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 88 2 34 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 168 170 258 260 300 302
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: 302
Found by: conf [MM]
db: batch=79, k=12, 2 40 2 88 2 34

STPT(12)	1678613647555258847	0 2 30 32 42 44 102 104 114 116 144 146	-892776770742
TPT(14)	1678613647555258847	0 2 30 32 42 44 102 104 114 116 144 146 234 236	-892776770742
SPT(16)	1678613992240751831	0 6 12 20 30 42 56 72 80 96 110 122 132 140 146 152	-548091277758
SPT(13)	1678614024204914767	0 6 36 42 102 120 126 132 150 210 216 246 252	-516127114822
SPT(18)	1678614110000858599	0 22 28 60 144 154 160 184 214 228 258 282 288 298 382 414 420 442	-430331170990
SPT(16)	1678614238963772689	0 10 12 18 24 28 118 124 138 144 234 238 244 250 252 262	-301368256900
SPT(16)	1678614604424131421	0 6 12 38 56 66 68 90 158 180 182 192 210 236 242 248	64092101832
TPT(14)	1678614679478764997	0 2 132 134 144 146 210 212 222 224 294 296 312 314	139146735408
STPT(10)	1678615235223847901	0 2 36 38 78 80 120 122 156 158	694891818312
STPT(10)	1678615279521871961	0 2 6 8 48 50 90 92 96 98	739189842372
TPT(14)	1678615486351853519	0 2 30 32 72 74 138 140 198 200 240 242 288 290	946019823930