Prime p₀= 2053757875975944167 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: gemini8
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2053756278235782073	0 18 28 46 90 100 144 148 156 160 204 214 258 276 286 304	-1597740162094
SPT(16)	2053756504482691699	0 18 22 54 88 118 132 144 148 160 174 204 238 270 274 292	-1371493252468
STPT(10)	2053756545879125951	0 2 78 80 108 110 138 140 216 218	-1330096818216
STPT(10)	2053756988077498367	0 2 42 44 72 74 102 104 144 146	-887898445800
SPT(16)	2053757675288374877	0 26 92 96 104 110 122 126 260 264 276 282 290 294 360 386	-200687569290
SPT(16)	2053757815406390839	0 18 22 30 72 78 114 160 252 298 334 340 382 390 394 412	-60569553328
SPT(16)	2053758234713185691	0 8 18 38 66 78 120 122 186 188 230 242 270 290 300 308	358737241524
SPT(16)	2053758552640137529	0 4 40 60 112 120 130 214 288 372 382 390 442 462 498 502	676664193362
STPT(10)	2053758815525439851	0 2 6 8 48 50 90 92 96 98	939549495684
STPT(10)	2053758950806073471	0 2 36 38 78 80 120 122 156 158	1074830129304
SPT(16)	2053759647993824791	0 18 48 76 100 150 198 228 250 280 328 378 402 430 460 478	1772017880624