Prime p₀= 2564446560234596027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2564445409537664959	0 4 18 22 34 124 132 174 208 250 258 348 360 364 378 382	-1150696931068
TPT(14)	2564445549074385617	0 2 12 14 42 44 60 62 144 146 222 224 312 314	-1011160210410
TPT(14)	2564445736737852041	0 2 18 20 48 50 96 98 180 182 240 242 270 272	-823496743986
SPT(16)	2564446158823852867	0 12 40 46 72 84 100 102 124 126 142 154 180 186 214 226	-401410743160
TPT(14)	2564446180468886447	0 2 24 26 42 44 114 116 192 194 282 284 294 296	-379765709580
STPT(10)	2564446381839129551	0 2 30 32 78 80 126 128 156 158	-178395466476
STPT(10)	2564446907030097977	0 2 30 32 42 44 54 56 84 86	346795501950
SPT(16)	2564447022458718053	0 54 56 68 90 98 114 140 144 170 186 194 216 228 230 284	462224122026
SPT(16)	2564447437321037269	0 82 112 114 150 162 192 222 322 352 382 394 430 432 462 544	877086441242
TPT(14)	2564447746856959781	0 2 30 32 96 98 180 182 186 188 210 212 336 338	1186622363754
SPT(16)	2564448023893646659	0 4 18 30 130 138 168 174 178 184 214 222 322 334 348 352	1463659050632