Prime p₀= 1056728485758175157 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	1056727209030107143	0 28 48 124 168 184 196 198 226 228 240 256 300 376 396 424	-1276728068014
SPT(16)	1056727312435454249	0 14 32 72 80 90 104 132 140 168 182 192 200 240 258 272	-1173322720908
TPT(14)	1056727474467372731	0 2 18 20 36 38 90 92 156 158 240 242 288 290	-1011290802426
STPT(10)	1056727584172357451	0 2 6 8 48 50 90 92 96 98	-901585817706
SPT(16)	1056727638095807819	0 12 84 98 102 114 164 180 182 198 248 260 264 278 350 362	-847662367338
STPT(10)	1056727814198395541	0 2 96 98 138 140 180 182 276 278	-671559779616
SPT(16)	1056728931339383503	0 4 24 28 36 54 70 106 108 144 160 178 186 190 210 214	445581208346
SPT(16)	1056729082364135351	0 26 36 42 78 86 92 120 188 216 222 230 266 272 282 308	596605960194
STPT(10)	1056729278365405037	0 2 30 32 42 44 54 56 84 86	792607229880
SPT(16)	1056729466120895257	0 4 40 52 54 64 70 120 136 186 192 202 204 216 252 256	980362720100
TPT(14)	1056729614731905809	0 2 60 62 102 104 162 164 168 170 258 260 300 302	1128973730652