Prime p₀= 2878706028608057411 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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=82, k=10, 2 28 2 46 2

SPT(16)	2878704406075381903	0 24 66 70 78 94 130 136 138 144 180 196 204 208 250 274	-1622532675508
STPT(10)	2878704512810320277	0 2 30 32 72 74 114 116 144 146	-1515797737134
SPT(16)	2878704792286403329	0 28 54 60 72 172 174 190 222 238 240 340 352 358 384 412	-1236321654082
SPT(16)	2878705513863226351	0 16 22 28 36 66 120 150 208 238 292 322 330 336 342 358	-514744831060
STPT(10)	2878705702589554889	0 2 18 20 30 32 42 44 60 62	-326018502522
SPT(16)	2878705903051816897	0 12 16 24 42 82 96 100 276 280 294 334 352 360 364 376	-125556240514
SPT(16)	2878706495860536883	0 10 34 58 90 124 150 168 190 208 234 268 300 324 348 358	467252479472
STPT(10)	2878706970696526127	0 2 12 14 72 74 132 134 144 146	942088468716
SPT(16)	2878707743246880257	0 20 30 44 62 66 72 170 186 284 290 294 312 326 336 356	1714638822846
SPT(16)	2878707897717759727	0 16 54 64 76 240 244 250 330 336 340 504 516 526 564 580	1869109702316
STPT(10)	2878707959080810457	0 2 42 44 72 74 102 104 144 146	1930472753046