Prime p₀= 2506409410572003449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2506408427951321563	0 66 70 76 88 106 118 126 130 138 150 168 180 186 190 256	-982620681886
TPT(14)	2506408540727363009	0 2 132 134 138 140 180 182 258 260 372 374 402 404	-869844640440
SPT(16)	2506408858278644899	0 4 10 24 42 84 154 160 192 198 268 310 328 342 348 352	-552293358550
TPT(14)	2506408993053135251	0 2 30 32 90 92 198 200 210 212 228 230 300 302	-417518868198
SPT(20)	2506409161716176557	0 16 36 42 64 70 102 120 130 142 234 246 256 274 306 312 334 340 360 376	-248855826892
TPT(14)	2506409317868378891	0 2 48 50 78 80 90 92 138 140 150 152 288 290	-92703624558
SPT(16)	2506409918451560939	0 32 38 54 180 192 198 210 212 224 230 242 368 384 390 422	507879557490
SPT(16)	2506410199498930909	0 64 72 94 148 174 184 210 262 288 298 324 378 400 408 472	788926927460
STPT(10)	2506410374032033319	0 2 48 50 90 92 132 134 180 182	963460029870
STPT(10)	2506410386455684571	0 2 36 38 78 80 120 122 156 158	975883681122
TPT(14)	2506410421544506511	0 2 66 68 108 110 138 140 150 152 168 170 210 212	1010972503062