Prime p₀= 1262345609473156259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1262345011280592979	0 28 60 88 94 102 112 124 138 150 160 168 174 202 234 262	-598192563280
STPT(10)	1262345166335973371	0 2 36 38 78 80 120 122 156 158	-443137182888
SPT(16)	1262345255396561701	0 18 30 78 96 126 148 208 210 270 292 322 340 388 400 418	-354076594558
STPT(12)	1262345415234375947	0 2 12 14 54 56 60 62 102 104 114 116	-194238780312
STPT(10)	1262345415876552101	0 2 6 8 48 50 90 92 96 98	-193596604158
SPT(16)	1262345448150474431	0 8 18 102 168 170 188 212 216 240 258 260 326 410 420 428	-161322681828
SPT(16)	1262346630754290869	0 12 78 98 102 168 182 212 228 258 272 338 342 362 428 440	1021281134610
SPT(16)	1262346633945437123	0 6 20 30 80 96 180 186 194 200 284 300 350 360 374 380	1024472280864
SPT(16)	1262346819241339873	0 6 10 28 30 40 88 90 136 138 186 196 198 216 220 226	1209768183614
STPT(10)	1262347363760681447	0 2 12 14 42 44 72 74 84 86	1754287525188
STPT(10)	1262347399859804891	0 2 6 8 48 50 90 92 96 98	1790386648632