Prime p₀= 944689575087988757 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	944688329009155333	0 4 10 28 36 54 64 106 168 210 220 238 246 264 270 274	-1246078833424
STPT(10)	944688471303554741	0 2 30 32 78 80 126 128 156 158	-1103784434016
TPT(14)	944688626120244959	0 2 72 74 90 92 120 122 288 290 312 314 420 422	-948967743798
SPT(16)	944689117161551023	0 16 114 126 196 204 210 304 390 484 490 498 568 580 678 694	-457926437734
SPT(16)	944689534214555531	0 12 20 42 50 62 78 98 132 152 168 180 188 210 218 230	-40873433226
STPT(12)	944689538591365757	0 2 24 26 84 86 150 152 210 212 234 236	-36496623000
SPT(16)	944689791172489163	0 14 36 54 74 96 110 146 168 204 218 240 260 278 300 314	216084500406
SPT(16)	944689815587153627	0 32 36 50 56 80 102 146 180 224 246 270 276 290 294 326	240499164870
STPT(10)	944689819935605477	0 2 30 32 42 44 54 56 84 86	244847616720
TPT(14)	944689935698690537	0 2 30 32 42 44 72 74 114 116 222 224 252 254	360610701780
SPT(18)	944690351110368271	0 22 28 76 82 90 96 100 118 120 138 142 148 156 162 210 216 238	776022379514