Prime p₀= 2579519880234904427 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: JayPi
db: batch=82, k=10, 2 58 2 10 2

STPT(10)	2579517793416907529	0 2 18 20 30 32 42 44 60 62	-2086817996898
SPT(16)	2579518134428504431	0 52 66 126 222 226 288 312 316 340 402 406 502 562 576 628	-1745806399996
SPT(16)	2579518850300250631	0 66 76 82 90 106 138 160 168 190 222 238 246 252 262 328	-1029934653796
STPT(10)	2579519136271873877	0 2 54 56 72 74 90 92 144 146	-743963030550
SPT(16)	2579519426877002563	0 4 10 18 28 48 64 76 78 90 106 126 136 144 150 154	-453357901864
SPT(16)	2579519777873442853	0 10 36 66 70 106 144 148 186 190 228 264 268 298 324 334	-102361461574
STPT(10)	2579519999155260989	0 2 42 44 60 62 78 80 120 122	118920356562
SPT(16)	2579520113899560049	0 22 28 72 78 82 100 124 138 162 180 184 190 234 240 262	233664655622
STPT(10)	2579520467325992159	0 2 12 14 30 32 48 50 60 62	587091087732
SPT(16)	2579520734992277191	0 42 142 180 196 238 246 352 426 532 540 582 598 636 736 778	854757372764
SPT(16)	2579520743085566419	0 24 34 72 90 118 132 178 324 370 384 412 430 468 478 502	862850661992