Prime p₀= 1956711793219056581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	1956711038817910273	0 66 70 90 100 108 114 150 244 280 286 294 304 324 328 394	-754401146308
STPT(10)	1956711121564013387	0 2 24 26 42 44 60 62 84 86	-671655043194
STPT(10)	1956711180909973097	0 2 30 32 42 44 54 56 84 86	-612309083484
SPT(16)	1956711655361174051	0 6 92 98 116 156 170 198 200 228 242 282 300 306 392 398	-137857882530
SPT(16)	1956711724846256383	0 24 40 54 84 118 120 130 168 178 180 214 244 258 274 298	-68372800198
STPT(10)	1956711767138997677	0 2 54 56 72 74 90 92 144 146	-26080058904
SPT(16)	1956712053232922719	0 4 24 42 52 54 88 90 172 174 208 210 220 238 258 262	260013866138
TPT(14)	1956712212235950509	0 2 18 20 42 44 138 140 168 170 222 224 240 242	419016893928
SPT(16)	1956712636583471017	0 10 54 60 130 132 144 192 322 370 382 384 454 460 504 514	843364414436
TPT(14)	1956712815946357097	0 2 30 32 144 146 222 224 264 266 312 314 360 362	1022727300516
SPT(16)	1956712941358133093	0 50 56 78 230 248 266 270 374 378 396 414 566 588 594 644	1148139076512