Prime p₀= 2743782178648427627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2743779976324031653	0 10 60 64 66 120 130 156 178 204 214 268 270 274 324 334	-2202324395974
SPT(16)	2743780360634726551	0 6 10 22 48 76 78 102 136 160 162 190 216 228 232 238	-1818013701076
STPT(10)	2743780735998264629	0 2 42 44 60 62 78 80 120 122	-1442650162998
SPT(18)	2743780789854637829	0 2 20 24 32 60 90 114 128 204 218 242 272 300 308 312 330 332	-1388793789798
STPT(10)	2743782044248315097	0 2 30 32 42 44 54 56 84 86	-134400112530
SPT(16)	2743782049564013279	0 12 30 50 120 174 180 194 240 254 260 314 384 404 422 434	-129084414348
SPT(16)	2743782571007879897	0 2 20 42 62 66 86 110 126 150 170 174 194 216 234 236	392359452270
SPT(16)	2743782801452264387	0 26 62 92 126 162 176 180 182 186 200 236 270 300 336 362	622803836760
SPT(16)	2743782984101739611	0 12 20 30 48 50 66 98 120 152 168 170 188 198 206 218	805453311984
STPT(10)	2743783430113620911	0 2 30 32 78 80 126 128 156 158	1251465193284
SPT(16)	2743783647904151509	0 28 60 70 90 118 138 208 480 550 570 598 618 628 660 688	1469255723882