Prime p₀= 2724717782650404659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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 16 2 10 2

STPT(10)	2724715956883156427	0 2 42 44 72 74 102 104 144 146	-1825767248232
STPT(10)	2724716311551894599	0 2 42 44 60 62 78 80 120 122	-1471098510060
TPT(14)	2724716314827050051	0 2 30 32 48 50 156 158 186 188 198 200 228 230	-1467823354608
STPT(10)	2724717069127965809	0 2 42 44 60 62 78 80 120 122	-713522438850
STPT(10)	2724717080550739367	0 2 30 32 60 62 90 92 120 122	-702099665292
SPT(16)	2724717231280403237	0 20 42 50 54 72 84 90 224 230 242 260 264 272 294 314	-551370001422
STPT(10)	2724718029385713467	0 2 30 32 42 44 54 56 84 86	246735308808
SPT(16)	2724718089019268449	0 28 70 78 94 132 150 154 198 202 220 258 274 282 324 352	306368863790
SPT(16)	2724718117423655597	0 2 26 30 44 90 114 116 180 182 206 252 266 270 294 296	334773250938
STPT(10)	2724718607816482001	0 2 6 8 48 50 90 92 96 98	825166077342
SPT(16)	2724719116365878459	0 2 32 50 78 132 150 164 168 182 200 254 282 300 330 332	1333715473800