Prime p₀= 2053736713581439091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=80, k=10, 2 4 2 10 2

SPT(18)	2053735788621904187	0 6 14 30 62 72 164 182 192 254 264 282 374 384 416 432 440 446	-924959534904
SPT(16)	2053735822164249469	0 58 72 100 102 124 130 138 154 162 168 190 192 220 234 292	-891417189622
SPT(16)	2053736087808516343	0 18 40 60 114 126 130 144 250 264 268 280 334 354 376 394	-625772922748
TPT(14)	2053736123492741459	0 2 30 32 78 80 90 92 102 104 228 230 270 272	-590088697632
SPT(16)	2053736602308970147	0 4 24 30 106 186 196 226 240 270 280 360 436 442 462 466	-111272468944
STPT(10)	2053736613439225919	0 2 78 80 120 122 162 164 240 242	-100142213172
STPT(10)	2053737364984705451	0 2 6 8 18 20 30 32 36 38	651403266360
SPT(16)	2053738601404799629	0 4 12 60 64 82 90 102 112 124 132 150 154 202 210 214	1887823360538
STPT(10)	2053738906214597387	0 2 30 32 60 62 90 92 120 122	2192633158296
SPT(16)	2053739300447497081	0 52 66 102 108 112 130 132 196 198 216 220 226 262 276 328	2586866057990
STPT(10)	2053739579780602487	0 2 54 56 72 74 90 92 144 146	2866199163396