Prime p₀= 2612130175725021779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2612128807890513361	0 42 60 76 102 106 130 160 162 192 216 220 246 262 280 322	-1367834508418
STPT(10)	2612128853935758257	0 2 60 62 72 74 84 86 144 146	-1321789263522
STPT(12)	2612129309764243937	0 2 24 26 42 44 132 134 150 152 174 176	-865960777842
STPT(10)	2612129642204472359	0 2 12 14 30 32 48 50 60 62	-533520549420
TPT(14)	2612129805863397101	0 2 78 80 120 122 126 128 168 170 240 242 258 260	-369861624678
SPT(16)	2612129891754940237	0 4 6 16 72 120 130 156 160 186 196 244 300 310 312 316	-283970081542
STPT(10)	2612130237519837677	0 2 24 26 42 44 60 62 84 86	61794815898
STPT(10)	2612130712977714749	0 2 42 44 60 62 78 80 120 122	537252692970
SPT(16)	2612131543115904181	0 78 172 190 192 232 292 306 322 336 396 436 438 456 550 628	1367390882402
SPT(16)	2612132514693709499	0 18 48 62 72 90 108 120 170 182 200 218 228 242 272 290	2338968687720
SPT(16)	2612132797421143729	0 18 42 82 84 144 168 172 300 304 328 388 390 430 454 472	2621696121950