Prime p₀= 3074975670112689767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: herby44
db: batch=83, k=10, 2 52 2 16 2

SPT(16)	3074972629365946007	0 14 30 62 66 74 122 144 152 174 222 230 234 266 282 296	-3040746743760
STPT(10)	3074973489105948809	0 2 78 80 120 122 162 164 240 242	-2181006740958
STPT(10)	3074973494444932079	0 2 18 20 30 32 42 44 60 62	-2175667757688
STPT(10)	3074973670467063059	0 2 30 32 60 62 90 92 120 122	-1999645626708
STPT(10)	3074974515333526511	0 2 138 140 168 170 198 200 336 338	-1154779163256
SPT(16)	3074974925726883841	0 18 46 70 72 78 120 172 186 238 280 286 288 312 340 358	-744385805926
STPT(10)	3074975788146984437	0 2 42 44 72 74 102 104 144 146	118034294670
SPT(16)	3074975842646291651	0 2 6 8 30 110 152 182 216 246 288 368 390 392 396 398	172533601884
SPT(16)	3074976753710995813	0 120 130 144 154 226 274 340 390 456 504 576 586 600 610 730	1083598306046
SPT(16)	3074977032879605239	0 28 72 94 102 112 138 150 172 184 210 220 228 250 294 322	1362766915472
SPT(16)	3074977145287871633	0 54 60 90 120 134 146 168 236 258 270 284 314 344 350 404	1475175181866