Prime p₀= 2738097324361932077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2738096231118541921	0 6 12 36 82 136 192 250 342 400 456 510 556 580 586 592	-1093243390156
STPT(10)	2738096258490237287	0 2 24 26 42 44 60 62 84 86	-1065871694790
SPT(16)	2738096472313639901	0 2 6 66 98 102 126 156 242 272 296 300 332 392 396 398	-852048292176
STPT(10)	2738096510618852561	0 2 6 8 48 50 90 92 96 98	-813743079516
SPT(16)	2738096638673384497	0 4 22 34 42 70 82 124 132 174 186 214 222 234 252 256	-685688547580
SPT(16)	2738097099336424187	0 24 32 36 42 102 116 126 140 150 164 224 230 234 242 266	-225025507890
STPT(10)	2738097493133701817	0 2 30 32 42 44 54 56 84 86	168771769740
STPT(10)	2738097756254894849	0 2 12 14 30 32 48 50 60 62	431892962772
STPT(10)	2738097899823898397	0 2 30 32 60 62 90 92 120 122	575461966320
SPT(16)	2738098037584328357	0 12 66 86 92 122 204 206 210 212 294 324 330 350 404 416	713222396280
SPT(16)	2738098089008888623	0 36 58 64 114 124 156 166 198 208 240 250 300 306 328 364	764646956546