Prime p₀= 997955467130397071 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	997953966723488837	0 54 60 62 102 110 122 144 152 174 186 194 234 236 242 296	-1500406908234
SPT(13)	997954076692328461	0 6 18 60 66 96 138 180 210 216 258 270 276	-1390438068610
STPT(10)	997954415927889317	0 2 60 62 72 74 84 86 144 146	-1051202507754
STPT(10)	997954536401573627	0 2 30 32 60 62 90 92 120 122	-930728823444
SPT(13)	997955024284683937	0 6 24 30 66 84 90 96 114 150 156 174 180	-442845713134
SPT(16)	997955279576725343	0 20 26 30 44 54 60 110 144 194 200 210 224 228 234 254	-187553671728
STPT(10)	997955746426468679	0 2 90 92 150 152 210 212 300 302	279296071608
SPT(13)	997956040784281981	0 30 42 72 90 108 120 132 150 168 198 210 240	573653884910
STPT(10)	997956177066818939	0 2 12 14 30 32 48 50 60 62	709936421868
TPT(14)	997956302686889471	0 2 30 32 78 80 90 92 126 128 156 158 168 170	835556492400
SPT(16)	997956349952802967	0 42 114 124 130 166 180 192 244 256 270 306 312 322 394 436	882822405896