Prime p₀= 2644292124064279259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2644291161902513801	0 56 96 110 122 138 140 152 156 168 170 186 198 212 252 308	-962161765458
SPT(16)	2644291474432822427	0 6 26 36 42 66 110 120 152 162 206 230 236 246 266 272	-649631456832
STPT(10)	2644291595661901187	0 2 30 32 72 74 114 116 144 146	-528402378072
SPT(16)	2644291992054635947	0 52 66 94 100 124 150 154 162 166 192 216 222 250 264 316	-132009643312
SPT(13)	2644292037624780427	0 24 42 54 84 114 132 150 180 210 222 240 264	-86439498832
STPT(12)	2644292063112539039	0 2 12 14 30 32 72 74 90 92 102 104	-60951740220
SPT(16)	2644292244903768761	0 38 68 92 102 122 126 128 150 152 156 176 186 210 240 278	120839489502
SPT(16)	2644292568766113359	0 14 72 128 152 180 188 194 198 204 212 240 264 320 378 392	444701834100
SPT(16)	2644292570611921139	0 98 108 120 144 150 158 164 204 210 218 224 248 260 270 368	446547641880
STPT(10)	2644293258682235087	0 2 30 32 72 74 114 116 144 146	1134617955828
STPT(10)	2644293388935141467	0 2 30 32 42 44 54 56 84 86	1264870862208