Prime p₀= 1245346812968847131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1245345604178165129	0 12 48 78 80 92 98 110 150 162 168 180 182 212 248 260	-1208790682002
STPT(10)	1245345708350472899	0 2 18 20 30 32 42 44 60 62	-1104618374232
SPT(16)	1245345878163803683	0 4 124 126 130 148 156 168 226 238 246 264 268 270 390 394	-934805043448
TPT(14)	1245346514894630501	0 2 66 68 90 92 246 248 306 308 330 332 348 350	-298074216630
STPT(10)	1245346703086856171	0 2 6 8 48 50 90 92 96 98	-109881990960
SPT(16)	1245346791463450349	0 32 42 48 50 78 102 128 174 200 224 252 254 260 270 302	-21505396782
SPT(16)	1245346839021908003	0 20 30 134 138 156 176 216 218 258 278 296 300 404 414 434	26053060872
STPT(10)	1245347621504639201	0 2 6 8 48 50 90 92 96 98	808535792070
STPT(10)	1245347816039069927	0 2 30 32 60 62 90 92 120 122	1003070222796
STPT(10)	1245347845530645887	0 2 30 32 60 62 90 92 120 122	1032561798756
SPT(16)	1245347965397035567	0 4 6 16 22 82 90 130 156 196 204 264 270 280 282 286	1152428188436