Prime p₀= 1028554772434769519 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1028554130117119657	0 72 102 132 142 156 172 186 226 240 256 270 280 310 340 412	-642317649862
SPT(13)	1028554197080636309	0 24 30 42 54 114 132 150 210 222 234 240 264	-575354133210
TPT(14)	1028554209575415581	0 2 60 62 78 80 126 128 186 188 198 200 288 290	-562859353938
STPT(10)	1028554482832221347	0 2 30 32 60 62 90 92 120 122	-289602548172
SPT(18)	1028554548228213439	0 12 42 54 72 90 94 132 154 198 220 258 262 280 298 310 340 352	-224206556080
STPT(10)	1028554605977030681	0 2 6 8 48 50 90 92 96 98	-166457738838
STPT(10)	1028555280592818827	0 2 30 32 60 62 90 92 120 122	508158049308
SPT(16)	1028555953365919873	0 24 30 48 76 100 114 118 126 130 144 168 196 214 220 244	1180931150354
SPT(16)	1028556850994679689	0 90 92 114 170 182 224 228 254 258 300 312 368 390 392 482	2078559910170
STPT(10)	1028557048078921817	0 2 30 32 42 44 54 56 84 86	2275644152298
STPT(10)	1028557119812301221	0 2 6 8 18 20 30 32 36 38	2347377531702