Prime p₀= 1748167996691566997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: amazing
db: batch=79, k=10, 2 28 2 10 2

SPT(20)	1748166487181323967	0 14 20 24 32 86 102 150 156 176 240 260 266 314 330 384 392 396 402 416	-1509510243030
SPT(16)	1748166627890265881	0 6 8 36 60 62 78 102 116 140 156 158 182 210 212 218	-1368801301116
STPT(12)	1748167349092871051	0 2 36 38 90 92 156 158 210 212 246 248	-647598695946
SPT(16)	1748167416235861849	0 22 28 78 82 144 154 184 228 258 268 330 334 384 390 412	-580455705148
STPT(10)	1748167524128126999	0 2 42 44 60 62 78 80 120 122	-472563439998
STPT(10)	1748167991535152399	0 2 18 20 60 62 102 104 120 122	-5156414598
STPT(10)	1748168149995840239	0 2 30 32 120 122 210 212 240 242	153304273242
SPT(16)	1748168165164747247	0 6 12 32 50 62 74 194 252 372 384 396 414 434 440 446	168473180250
STPT(10)	1748168201114244797	0 2 30 32 42 44 54 56 84 86	204422677800
SPT(16)	1748168306603503007	0 12 54 62 66 84 86 90 146 150 152 170 174 182 224 236	309911936010
TPT(14)	1748168367519903137	0 2 12 14 30 32 90 92 132 134 144 146 174 176	370828336140