Prime p₀= 1945267610243616677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: JonS
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	1945265929684781779	0 4 34 70 82 118 124 154 228 258 264 300 312 348 378 382	-1680558834898
STPT(10)	1945266081061818017	0 2 24 26 42 44 60 62 84 86	-1529181798660
SPT(16)	1945266368560639469	0 24 30 42 50 60 72 74 90 92 104 114 122 134 140 164	-1241682977208
STPT(10)	1945266443656219511	0 2 36 38 78 80 120 122 156 158	-1166587397166
SPT(16)	1945267074794860573	0 58 64 84 94 108 180 190 198 208 280 294 304 324 330 388	-535448756104
SPT(16)	1945267435357463647	0 16 34 42 52 66 70 72 94 96 100 114 124 132 150 166	-174886153030
STPT(10)	1945267689283476977	0 2 12 14 42 44 72 74 84 86	79039860300
SPT(16)	1945267751157086311	0 16 22 46 70 76 148 156 172 180 252 258 282 306 312 328	140913469634
SPT(16)	1945267862728577537	0 2 44 56 86 90 182 192 194 204 296 300 330 342 384 386	252484960860
STPT(10)	1945268590558348379	0 2 18 20 60 62 102 104 120 122	980314731702
STPT(12)	1945268713413669671	0 2 30 32 60 62 66 68 96 98 126 128	1103170052994