Prime p₀= 1051496856267051767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: stoneageman
db: batch=76, k=10, 2 58 2 10 2

TPT(14)	1051496195155726139	0 2 30 32 72 74 78 80 108 110 138 140 150 152	-661111325628
STPT(10)	1051496334089603747	0 2 42 44 72 74 102 104 144 146	-522177448020
SPT(16)	1051496334160323371	0 6 12 38 140 150 152 180 218 246 248 258 360 386 392 398	-522106728396
SPT(16)	1051496442743253653	0 18 84 90 98 110 116 126 128 138 144 156 164 170 236 254	-413523798114
STPT(10)	1051496690866019309	0 2 18 20 30 32 42 44 60 62	-165401032458
STPT(10)	1051496755037524067	0 2 24 26 42 44 60 62 84 86	-101229527700
SPT(16)	1051496997318215849	0 32 60 62 78 90 98 102 188 192 200 212 228 230 258 290	141051164082
STPT(10)	1051497207590398739	0 2 18 20 30 32 42 44 60 62	351323346972
SPT(16)	1051497534725060107	0 6 12 34 54 76 84 112 114 142 150 172 192 214 220 226	678458008340
STPT(10)	1051497570679763489	0 2 42 44 60 62 78 80 120 122	714412711722
SPT(16)	1051497656308100341	0 6 90 106 130 156 160 162 196 198 202 228 252 268 352 358	800041048574