Prime p₀= 1337461123276927667 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: vaughan
db: batch=77, k=10, 2 10 2 58 2

STPT(10)	1337460315881326919	0 2 18 20 60 62 102 104 120 122	-807395600748
SPT(16)	1337460579795565201	0 6 36 40 48 70 78 82 126 130 138 160 168 172 202 208	-543481362466
STPT(10)	1337460668178915101	0 2 6 8 48 50 90 92 96 98	-455098012566
STPT(10)	1337460874170843197	0 2 12 14 42 44 72 74 84 86	-249106084470
SPT(16)	1337460960079465961	0 6 12 26 42 50 176 180 182 186 312 320 336 350 356 362	-163197461706
TPT(14)	1337461093317910049	0 2 150 152 168 170 210 212 228 230 240 242 318 320	-29959017618
SPT(16)	1337461154409811157	0 30 72 74 102 104 116 146 390 420 432 434 462 464 506 536	31132883490
SPT(16)	1337461297945479451	0 40 90 96 108 112 136 166 192 222 246 250 262 268 318 358	174668551784
STPT(10)	1337461301837652347	0 2 30 32 72 74 114 116 144 146	178560724680
SPT(16)	1337461817733873809	0 8 24 38 42 92 132 158 234 260 300 350 354 368 384 392	694456946142
TPT(16)	1337461960078591511	0 2 48 50 90 92 126 128 216 218 288 290 336 338 360 362	836801663844