Prime p₀= 1025556418829762789 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: HenkM
db: batch=76, k=10, 2 10 2 16 2

SPT(16)	1025554884066682147	0 72 94 114 142 190 246 252 304 310 366 414 442 462 484 556	-1534763080642
STPT(10)	1025554895318405237	0 2 30 32 60 62 90 92 120 122	-1523511357552
STPT(10)	1025555096676376949	0 2 12 14 90 92 168 170 180 182	-1322153385840
TPT(14)	1025555729402295197	0 2 12 14 54 56 84 86 192 194 210 212 240 242	-689427467592
SPT(16)	1025556158882929567	0 90 130 136 150 154 160 166 180 186 192 196 210 216 256 346	-259946833222
SPT(16)	1025556161987068273	0 16 18 78 84 90 136 150 154 168 214 220 226 286 288 304	-256842694516
SPT(16)	1025556545013593573	0 26 30 36 56 158 168 180 224 236 246 348 368 374 378 404	126183830784
SPT(16)	1025556903771801637	0 40 46 70 124 126 130 136 210 216 220 222 276 300 306 346	484942038848
SPT(16)	1025556970055504987	0 14 24 60 80 92 102 140 144 182 192 204 224 260 270 284	551225742198
STPT(10)	1025557082467361177	0 2 24 26 42 44 60 62 84 86	663637598388
SPT(16)	1025557157444036213	0 80 90 98 120 128 140 216 248 324 336 344 366 374 384 464	738614273424