Prime p₀= 2048652859254686021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: gemini8
db: batch=80, k=10, 2 28 2 88 2

STPT(10)	2048651734535557937	0 2 30 32 60 62 90 92 120 122	-1124719128084
STPT(10)	2048651880048204791	0 2 6 8 48 50 90 92 96 98	-979206481230
STPT(10)	2048651949252083639	0 2 48 50 60 62 72 74 120 122	-910002602382
SPT(16)	2048652247441395371	0 26 62 90 96 152 156 240 248 332 336 392 398 426 462 488	-611813290650
SPT(16)	2048652260870505691	0 42 70 76 90 108 156 168 220 232 280 298 312 318 346 388	-598384180330
STPT(10)	2048652734533384949	0 2 12 14 30 32 48 50 60 62	-124721301072
SPT(16)	2048653057518146843	0 14 18 24 36 38 54 96 98 140 156 158 170 176 180 194	198263460822
SPT(16)	2048653209377110079	0 18 32 50 60 74 122 132 200 210 258 272 282 300 314 332	350122424058
STPT(10)	2048653314275711201	0 2 36 38 78 80 120 122 156 158	455021025180
SPT(16)	2048653741871828107	0 30 76 84 132 142 216 234 262 280 354 364 412 420 466 496	882617142086
STPT(12)	2048653774357512977	0 2 12 14 30 32 114 116 132 134 144 146	915102826956