Prime p₀= 2271633114877734857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2271631351983910207	0 4 76 102 124 154 166 184 282 300 312 342 364 390 462 466	-1762893824650
STPT(10)	2271631515688191647	0 2 42 44 72 74 102 104 144 146	-1599189543210
STPT(10)	2271632042920911257	0 2 30 32 72 74 114 116 144 146	-1071956823600
STPT(10)	2271632233260422819	0 2 42 44 90 92 138 140 180 182	-881617312038
STPT(10)	2271632370028453181	0 2 36 38 78 80 120 122 156 158	-744849281676
SPT(16)	2271632720279925967	0 40 46 70 76 90 136 172 180 216 262 276 282 306 312 352	-394597808890
TPT(14)	2271633198951546557	0 2 54 56 72 74 84 86 162 164 240 242 264 266	84073811700
SPT(16)	2271633414791189011	0 36 58 82 90 112 156 166 192 202 246 268 276 300 322 358	299913454154
SPT(16)	2271633889676777077	0 6 114 166 246 294 334 364 426 456 496 544 624 676 784 790	774799042220
SPT(16)	2271633934379438191	0 10 36 58 90 150 160 168 190 198 208 268 300 322 348 358	819501703334
TPT(14)	2271634084765313507	0 2 30 32 114 116 120 122 222 224 414 416 534 536	969887578650