Prime p₀= 1058508629630006057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Fardringle
db: batch=76, k=10, 2 22 2 16 2

SPT(13)	1058507591903842933	0 6 54 114 186 216 240 264 294 366 426 474 480	-1037726163124
STPT(10)	1058507775919333931	0 2 36 38 78 80 120 122 156 158	-853710672126
SPT(16)	1058508129520776317	0 14 32 42 62 102 132 144 182 194 224 264 284 294 312 326	-500109229740
STPT(10)	1058508138405174557	0 2 60 62 72 74 84 86 144 146	-491224831500
TPT(14)	1058508141852988457	0 2 42 44 54 56 72 74 114 116 204 206 504 506	-487777017600
STPT(10)	1058508314546831777	0 2 30 32 72 74 114 116 144 146	-315083174280
SPT(16)	1058508880107597421	0 6 12 88 96 100 118 126 172 180 198 202 210 286 292 298	250477591364
SPT(16)	1058509116567896453	0 26 48 54 96 120 140 176 228 264 284 308 350 356 378 404	486937890396
SPT(16)	1058509159377349513	0 4 10 28 58 136 138 144 190 196 198 276 306 324 330 334	529747343456
SPT(16)	1058509180920931387	0 4 30 42 70 72 82 84 160 162 172 174 202 214 240 244	551290925330
SPT(16)	1058509222184262473	0 6 14 20 50 66 108 114 140 146 188 204 234 240 248 254	592554256416