Prime p₀= 2579519136271873877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2579516068007492287	0 34 60 66 94 126 130 136 144 150 154 186 214 220 246 280	-3068264381590
SPT(16)	2579516785291846537	0 22 34 36 54 76 130 180 196 246 300 322 340 342 354 376	-2350980027340
SPT(16)	2579517666359500519	0 28 120 184 274 288 300 310 342 352 364 378 468 532 624 652	-1469912373358
STPT(10)	2579517793416907529	0 2 18 20 30 32 42 44 60 62	-1342854966348
SPT(16)	2579518134428504431	0 52 66 126 222 226 288 312 316 340 402 406 502 562 576 628	-1001843369446
SPT(16)	2579518850300250631	0 66 76 82 90 106 138 160 168 190 222 238 246 252 262 328	-285971623246
SPT(16)	2579519426877002563	0 4 10 18 28 48 64 76 78 90 106 126 136 144 150 154	290605128686
SPT(16)	2579519777873442853	0 10 36 66 70 106 144 148 186 190 228 264 268 298 324 334	641601568976
STPT(10)	2579519880234904427	0 2 60 62 72 74 84 86 144 146	743963030550
STPT(10)	2579519999155260989	0 2 42 44 60 62 78 80 120 122	862883387112
SPT(16)	2579520113899560049	0 22 28 72 78 82 100 124 138 162 180 184 190 234 240 262	977627686172