Prime p₀= 2217326662148398709 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: ginga
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2217325310591273471	0 2 120 122 138 140 156 158 276 278	-1351557125238
SPT(16)	2217325395557702393	0 6 8 18 54 56 68 78 116 126 138 140 176 186 188 194	-1266590696316
SPT(16)	2217325446660214721	0 62 120 132 138 152 168 182 216 230 246 260 266 278 336 398	-1215488183988
STPT(10)	2217325605881783861	0 2 36 38 78 80 120 122 156 158	-1056266614848
SPT(16)	2217326511981099517	0 10 60 82 84 94 102 124 150 172 180 190 192 214 264 274	-150167299192
STPT(10)	2217326583340205537	0 2 30 32 72 74 114 116 144 146	-78808193172
STPT(10)	2217326921978883887	0 2 12 14 72 74 132 134 144 146	259830485178
TPT(14)	2217327288266014049	0 2 138 140 168 170 180 182 210 212 228 230 240 242	626117615340
SPT(16)	2217327822887998181	0 8 26 36 50 60 78 86 102 110 128 138 152 162 180 188	1160739599472
SPT(16)	2217328114349526539	0 60 78 84 92 102 104 132 140 168 170 180 188 194 212 272	1452201127830
TPT(14)	2217328380586188689	0 2 30 32 42 44 138 140 150 152 180 182 210 212	1718437789980