Prime p₀= 2053738906214597387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Dingo
db: batch=80, k=10, 2 28 2 28 2

TPT(14)	2053736123492741459	0 2 30 32 78 80 90 92 102 104 228 230 270 272	-2782721855928
SPT(16)	2053736602308970147	0 4 24 30 106 186 196 226 240 270 280 360 436 442 462 466	-2303905627240
STPT(10)	2053736613439225919	0 2 78 80 120 122 162 164 240 242	-2292775371468
STPT(10)	2053736713581439091	0 2 6 8 18 20 30 32 36 38	-2192633158296
STPT(10)	2053737364984705451	0 2 6 8 18 20 30 32 36 38	-1541229891936
SPT(16)	2053738601404799629	0 4 12 60 64 82 90 102 112 124 132 150 154 202 210 214	-304809797758
SPT(16)	2053739300447497081	0 52 66 102 108 112 130 132 196 198 216 220 226 262 276 328	394232899694
STPT(10)	2053739579780602487	0 2 54 56 72 74 90 92 144 146	673566005100
SPT(16)	2053739609917914923	0 6 14 26 44 54 56 86 138 168 170 180 198 210 218 224	703703317536
STPT(10)	2053739878385498999	0 2 12 14 90 92 168 170 180 182	972170901612
SPT(16)	2053740894239363401	0 36 70 72 102 112 142 160 198 216 246 256 286 288 322 358	1988024766014