Prime p₀= 1056036216687894047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: stoneageman
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1056035267098219777	0 4 24 46 52 54 76 102 154 180 202 204 210 232 252 256	-949589674270
STPT(12)	1056035362963115789	0 2 18 20 78 80 210 212 270 272 288 290	-853724778258
SPT(16)	1056035412245082383	0 6 8 48 50 56 66 78 86 98 108 114 116 156 158 164	-804442811664
SPT(16)	1056035461651177327	0 4 36 84 180 220 276 334 342 400 456 496 592 640 672 676	-755036716720
SPT(16)	1056035711009112143	0 18 24 36 48 74 78 90 134 146 150 176 188 200 206 224	-505678781904
SPT(16)	1056036193374066071	0 30 90 102 110 126 168 170 198 200 242 258 266 278 338 368	-23313827976
SPT(16)	1056036271798283057	0 20 72 90 116 132 156 162 254 260 284 300 326 344 396 416	55110389010
STPT(10)	1056036392817527741	0 2 6 8 48 50 90 92 96 98	176129633694
SPT(16)	1056036420919712053	0 16 28 54 100 106 126 150 154 178 198 204 250 276 288 304	204231818006
SPT(16)	1056036695756295059	0 32 48 78 104 114 134 162 170 198 218 228 254 284 300 332	479068401012
STPT(10)	1056036712825693967	0 2 30 32 42 44 54 56 84 86	496137799920