Prime p₀= 1956711767138997677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 52 2 16 2

SPT(16)	1956710854176935149	0 40 72 82 102 118 154 184 198 228 264 280 300 310 342 382	-912962062528
SPT(16)	1956711038817910273	0 66 70 90 100 108 114 150 244 280 286 294 304 324 328 394	-728321087404
STPT(10)	1956711121564013387	0 2 24 26 42 44 60 62 84 86	-645574984290
STPT(10)	1956711180909973097	0 2 30 32 42 44 54 56 84 86	-586229024580
SPT(16)	1956711655361174051	0 6 92 98 116 156 170 198 200 228 242 282 300 306 392 398	-111777823626
SPT(16)	1956711724846256383	0 24 40 54 84 118 120 130 168 178 180 214 244 258 274 298	-42292741294
STPT(10)	1956711793219056581	0 2 36 38 78 80 120 122 156 158	26080058904
SPT(16)	1956712053232922719	0 4 24 42 52 54 88 90 172 174 208 210 220 238 258 262	286093925042
TPT(14)	1956712212235950509	0 2 18 20 42 44 138 140 168 170 222 224 240 242	445096952832
SPT(16)	1956712636583471017	0 10 54 60 130 132 144 192 322 370 382 384 454 460 504 514	869444473340
TPT(14)	1956712815946357097	0 2 30 32 144 146 222 224 264 266 312 314 360 362	1048807359420