Prime p₀= 2053756988077498367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: gemini8
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2053755888599522537	0 2 26 44 50 86 96 110 156 170 180 216 222 240 264 266	-1099477975830
STPT(10)	2053755891026494979	0 2 18 20 30 32 42 44 60 62	-1097051003388
STPT(12)	2053755921652923029	0 2 12 14 42 44 48 50 78 80 90 92	-1066424575338
SPT(16)	2053756278235782073	0 18 28 46 90 100 144 148 156 160 204 214 258 276 286 304	-709841716294
SPT(16)	2053756504482691699	0 18 22 54 88 118 132 144 148 160 174 204 238 270 274 292	-483594806668
STPT(10)	2053756545879125951	0 2 78 80 108 110 138 140 216 218	-442198372416
SPT(16)	2053757675288374877	0 26 92 96 104 110 122 126 260 264 276 282 290 294 360 386	687210876510
SPT(16)	2053757815406390839	0 18 22 30 72 78 114 160 252 298 334 340 382 390 394 412	827328892472
STPT(10)	2053757875975944167	0 2 30 32 42 44 54 56 84 86	887898445800
SPT(16)	2053758234713185691	0 8 18 38 66 78 120 122 186 188 230 242 270 290 300 308	1246635687324
SPT(16)	2053758552640137529	0 4 40 60 112 120 130 214 288 372 382 390 442 462 498 502	1564562639162