Prime p₀= 2568532537081607609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2568530602095770927	0 2 24 26 42 44 60 62 84 86	-1934985836682
SPT(16)	2568531526034190193	0 46 100 120 124 130 138 154 180 196 204 210 214 234 288 334	-1011047417416
SPT(16)	2568532000362481147	0 24 46 70 82 124 156 184 192 220 252 294 306 330 352 376	-536719126462
STPT(10)	2568532014833547941	0 2 6 8 48 50 90 92 96 98	-522248059668
STPT(10)	2568532299479670617	0 2 30 32 60 62 90 92 120 122	-237601936992
SPT(16)	2568532315684545703	0 6 30 84 96 114 150 160 174 184 220 238 250 304 328 334	-221397061906
SPT(13)	2568532764567639431	0 6 78 90 108 126 168 210 228 246 258 330 336	227486031822
SPT(16)	2568533084054432749	0 18 30 34 52 88 102 112 150 160 174 210 228 232 244 262	546972825140
SPT(16)	2568533316488095469	0 2 30 32 42 50 108 120 122 134 192 200 210 212 240 242	779406487860
SPT(16)	2568533581426718407	0 22 36 60 64 66 102 106 150 154 190 192 196 220 234 256	1044345110798
SPT(16)	2568533686467017999	0 14 20 30 78 90 104 114 134 144 158 170 218 228 234 248	1149385410390