Prime p₀= 2539617776914498829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2539617238086081299	0 20 24 38 44 108 170 174 248 252 314 378 384 398 402 422	-538828417530
STPT(10)	2539617331382371937	0 2 54 56 72 74 90 92 144 146	-445532126892
STPT(10)	2539617410396007581	0 2 6 8 48 50 90 92 96 98	-366518491248
STPT(10)	2539617468195350909	0 2 42 44 60 62 78 80 120 122	-308719147920
SPT(16)	2539617691363253351	0 2 12 26 42 50 60 92 120 152 162 170 186 200 210 212	-85551245478
STPT(10)	2539617753845908859	0 2 12 14 30 32 48 50 60 62	-23068589970
SPT(18)	2539617897251987569	0 12 30 78 112 174 238 240 244 288 292 294 358 420 454 502 520 532	120337488740
STPT(10)	2539618036374681011	0 2 36 38 78 80 120 122 156 158	259460182182
STPT(10)	2539618071568842107	0 2 30 32 42 44 54 56 84 86	294654343278
STPT(10)	2539618270481859911	0 2 36 38 78 80 120 122 156 158	493567361082
STPT(12)	2539618438268800829	0 2 12 14 42 44 48 50 78 80 90 92	661354302000