Prime p₀= 2878706970696526127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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=82, k=10, 2 10 2 58 2

SPT(16)	2878704792286403329	0 28 54 60 72 172 174 190 222 238 240 340 352 358 384 412	-2178410122798
SPT(16)	2878705513863226351	0 16 22 28 36 66 120 150 208 238 292 322 330 336 342 358	-1456833299776
STPT(10)	2878705702589554889	0 2 18 20 30 32 42 44 60 62	-1268106971238
SPT(16)	2878705903051816897	0 12 16 24 42 82 96 100 276 280 294 334 352 360 364 376	-1067644709230
STPT(10)	2878706028608057411	0 2 30 32 78 80 126 128 156 158	-942088468716
SPT(16)	2878706495860536883	0 10 34 58 90 124 150 168 190 208 234 268 300 324 348 358	-474835989244
SPT(16)	2878707743246880257	0 20 30 44 62 66 72 170 186 284 290 294 312 326 336 356	772550354130
SPT(16)	2878707897717759727	0 16 54 64 76 240 244 250 330 336 340 504 516 526 564 580	927021233600
STPT(10)	2878707959080810457	0 2 42 44 72 74 102 104 144 146	988384284330
SPT(16)	2878708067727963589	0 4 18 30 40 70 132 160 222 250 312 342 352 364 378 382	1097031437462
TPT(14)	2878708191887050421	0 2 108 110 120 122 246 248 420 422 426 428 456 458	1221190524294