Prime p₀= 2178157668911162801 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: [SG-FC] hl
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2178156463868283149	0 38 44 72 122 170 174 188 234 248 252 300 350 378 384 422	-1205042879652
STPT(10)	2178156709435726427	0 2 42 44 72 74 102 104 144 146	-959475436374
SPT(16)	2178156776457202483	0 24 46 78 88 94 126 130 144 148 180 186 196 228 250 274	-892453960318
STPT(10)	2178156954035574269	0 2 18 20 30 32 42 44 60 62	-714875588532
SPT(16)	2178156964622049503	0 8 30 50 56 80 98 140 144 186 204 228 234 254 276 284	-704289113298
SPT(16)	2178157350646903459	0 52 108 130 142 168 240 250 282 292 364 390 402 424 480 532	-318264259342
STPT(10)	2178157880926425857	0 2 30 32 42 44 54 56 84 86	212015263056
SPT(16)	2178158034003695243	0 54 78 84 86 104 146 164 180 198 240 258 260 266 290 344	365092532442
STPT(10)	2178158034348479999	0 2 12 14 30 32 48 50 60 62	365437317198
SPT(16)	2178158186725469503	0 34 48 64 114 148 168 190 198 220 240 274 324 340 354 388	517814306702
SPT(16)	2178158411531141657	0 24 50 56 66 72 90 102 104 116 134 140 150 156 182 206	742619978856