Prime p₀= 2048652734533384949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: gemini8
db: batch=80, k=10, 2 10 2 16 2

SPT(18)	2048651573797206277	0 6 16 22 42 54 64 70 72 124 126 132 142 154 174 180 190 196	-1160736178672
STPT(10)	2048651734535557937	0 2 30 32 60 62 90 92 120 122	-999997827012
STPT(10)	2048651880048204791	0 2 6 8 48 50 90 92 96 98	-854485180158
STPT(10)	2048651949252083639	0 2 48 50 60 62 72 74 120 122	-785281301310
SPT(16)	2048652247441395371	0 26 62 90 96 152 156 240 248 332 336 392 398 426 462 488	-487091989578
SPT(16)	2048652260870505691	0 42 70 76 90 108 156 168 220 232 280 298 312 318 346 388	-473662879258
STPT(10)	2048652859254686021	0 2 30 32 120 122 210 212 240 242	124721301072
SPT(16)	2048653057518146843	0 14 18 24 36 38 54 96 98 140 156 158 170 176 180 194	322984761894
SPT(16)	2048653209377110079	0 18 32 50 60 74 122 132 200 210 258 272 282 300 314 332	474843725130
STPT(10)	2048653314275711201	0 2 36 38 78 80 120 122 156 158	579742326252
SPT(16)	2048653741871828107	0 30 76 84 132 142 216 234 262 280 354 364 412 420 466 496	1007338443158