Prime p₀= 2003582602632247667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=80, k=10, 2 28 2 28 2

SPT(13)	2003580960925436171	0 6 12 60 66 90 96 102 126 132 180 186 192	-1641706811496
SPT(16)	2003581053585750341	0 26 42 108 132 150 182 198 290 306 338 356 380 446 462 488	-1549046497326
SPT(16)	2003581161139380037	0 22 24 46 52 90 172 210 256 294 376 414 420 442 444 466	-1441492867630
SPT(16)	2003581652457478241	0 12 26 56 66 68 92 108 110 126 150 152 162 192 206 218	-950174769426
SPT(16)	2003582203277308363	0 6 24 58 84 94 106 120 154 168 180 190 216 250 268 274	-399354939304
SPT(16)	2003582582472326633	0 8 24 30 38 50 60 74 120 134 144 156 164 170 186 194	-20159921034
SPT(16)	2003582729673115001	0 32 60 98 102 126 146 158 210 222 242 266 270 308 336 368	127040867334
SPT(16)	2003582752363631869	0 22 28 34 108 114 132 174 268 310 328 334 408 414 420 442	149731384202
STPT(10)	2003583496207508387	0 2 30 32 42 44 54 56 84 86	893575260720
STPT(10)	2003583667598219417	0 2 60 62 72 74 84 86 144 146	1064965971750
TPT(14)	2003583831911181017	0 2 12 14 84 86 114 116 120 122 192 194 240 242	1229278933350