Prime p₀= 2556565751005432289 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: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(18)	2556563902738452557	0 32 54 132 170 210 212 216 242 294 320 324 326 366 404 482 504 536	-1848266979732
SPT(16)	2556564740296420187	0 26 32 42 132 162 222 234 302 314 374 404 494 504 510 536	-1010709012102
STPT(10)	2556565233922818257	0 2 42 44 72 74 102 104 144 146	-517082614032
STPT(10)	2556565346707981517	0 2 30 32 42 44 54 56 84 86	-404297450772
TPT(14)	2556565366311002699	0 2 90 92 210 212 252 254 330 332 342 344 378 380	-384694429590
SPT(16)	2556565616227334713	0 18 40 94 138 144 154 156 178 180 190 196 240 294 316 334	-134778097576
TPT(14)	2556565881579595799	0 2 42 44 138 140 180 182 210 212 222 224 270 272	130574163510
SPT(16)	2556565900394285071	0 6 18 40 48 90 168 216 292 340 418 460 468 490 502 508	149388852782
SPT(16)	2556565939757599831	0 12 42 46 112 136 150 180 202 232 246 270 336 340 370 382	188752167542
SPT(16)	2556566207523531421	0 52 66 82 100 102 106 142 150 186 190 192 210 226 240 292	456518099132
SPT(16)	2556566403666620117	0 2 6 12 56 66 80 90 146 156 170 180 224 230 234 236	652661187828