Prime p₀= 2556565346707981517 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2556563129447248307	0 2 14 26 36 74 86 96 140 150 162 200 210 222 234 236	-2217260733210
SPT(16)	2556563872259040949	0 30 100 118 120 138 160 172 198 210 232 250 252 270 340 370	-1474448940568
SPT(16)	2556563875856916941	0 2 8 12 38 42 108 116 162 170 236 240 266 270 276 278	-1470851064576
SPT(18)	2556563902738452557	0 32 54 132 170 210 212 216 242 294 320 324 326 366 404 482 504 536	-1443969528960
SPT(16)	2556564740296420187	0 26 32 42 132 162 222 234 302 314 374 404 494 504 510 536	-606411561330
STPT(10)	2556565233922818257	0 2 42 44 72 74 102 104 144 146	-112785163260
TPT(14)	2556565366311002699	0 2 90 92 210 212 252 254 330 332 342 344 378 380	19603021182
SPT(16)	2556565616227334713	0 18 40 94 138 144 154 156 178 180 190 196 240 294 316 334	269519353196
STPT(10)	2556565751005432289	0 2 12 14 30 32 48 50 60 62	404297450772
TPT(14)	2556565881579595799	0 2 42 44 138 140 180 182 210 212 222 224 270 272	534871614282
SPT(16)	2556565900394285071	0 6 18 40 48 90 168 216 292 340 418 460 468 490 502 508	553686303554