Prime p₀= 2178156709435726427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: [SG-FC] hl
db: batch=81, k=10, 2 40 2 28 2

STPT(12)	2178154702111465799	0 2 12 14 72 74 78 80 138 140 150 152	-2007324260628
SPT(16)	2178155306357759371	0 40 66 70 76 90 96 100 318 322 328 342 348 352 378 418	-1403077967056
SPT(16)	2178155698479654379	0 30 52 70 120 150 162 192 208 238 250 280 330 348 370 400	-1010956072048
STPT(10)	2178155785772402507	0 2 30 32 42 44 54 56 84 86	-923663323920
SPT(16)	2178155829417943561	0 28 72 88 120 138 162 270 310 418 442 460 492 508 552 580	-880017782866
SPT(16)	2178156463868283149	0 38 44 72 122 170 174 188 234 248 252 300 350 378 384 422	-245567443278
SPT(16)	2178156776457202483	0 24 46 78 88 94 126 130 144 148 180 186 196 228 250 274	67021476056
STPT(10)	2178156954035574269	0 2 18 20 30 32 42 44 60 62	244599847842
SPT(16)	2178156964622049503	0 8 30 50 56 80 98 140 144 186 204 228 234 254 276 284	255186323076
SPT(16)	2178157350646903459	0 52 108 130 142 168 240 250 282 292 364 390 402 424 480 532	641211177032
STPT(10)	2178157668911162801	0 2 30 32 78 80 126 128 156 158	959475436374