Prime p₀= 3978878639752544777 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: [AF] Kalianthys
db: batch=84, k=10, 2 10 2 58 2

SPT(16)	3978877323297099851	0 12 68 78 90 102 132 176 192 236 266 278 290 300 356 368	-1316455444926
STPT(10)	3978877328035092359	0 2 42 44 120 122 198 200 240 242	-1311717452418
SPT(16)	3978878072739875659	0 60 82 90 112 132 160 168 172 180 208 228 250 258 280 340	-567012669118
STPT(10)	3978878319610302137	0 2 12 14 42 44 72 74 84 86	-320142242640
STPT(10)	3978878449090400027	0 2 42 44 72 74 102 104 144 146	-190662144750
SPT(16)	3978878485744430347	0 22 30 46 52 84 102 106 150 154 172 204 210 226 234 256	-154008114430
SPT(16)	3978878767814460379	0 24 34 78 88 90 94 100 162 168 172 174 184 228 238 262	128061915602
SPT(16)	3978878895172848223	0 6 30 46 58 90 168 198 286 316 394 426 438 454 478 484	255420303446
STPT(10)	3978879451473622427	0 2 30 32 42 44 54 56 84 86	811721077650
SPT(16)	3978879539288928041	0 6 18 20 42 66 126 162 356 392 452 476 498 500 512 518	899536383264
TPT(14)	3978879864023651681	0 2 48 50 66 68 90 92 246 248 276 278 360 362	1224271106904