Prime p₀= 2499398181838242077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2499396121422638521	0 10 48 58 76 108 130 136 150 156 178 210 228 238 276 286	-2060415603556
STPT(10)	2499396165720518747	0 2 12 14 72 74 132 134 144 146	-2016117723330
TPT(14)	2499396857413295207	0 2 12 14 54 56 90 92 102 104 132 134 174 176	-1324424946870
SPT(16)	2499397213720269377	0 12 62 86 92 110 126 132 140 146 162 180 186 210 260 272	-968117972700
STPT(10)	2499397743292175819	0 2 30 32 60 62 90 92 120 122	-438546066258
SPT(16)	2499398049870186973	0 6 36 40 58 88 118 120 124 126 156 186 204 208 238 244	-131968055104
STPT(10)	2499398501889642851	0 2 36 38 78 80 120 122 156 158	320051400774
TPT(14)	2499398555730345887	0 2 90 92 144 146 294 296 300 302 354 356 384 386	373892103810
SPT(16)	2499398673575403641	0 12 42 66 72 96 126 132 150 156 186 210 216 240 270 282	491737161564
SPT(16)	2499399257091608033	0 56 96 120 138 164 198 200 204 206 240 266 284 308 348 404	1075253365956
STPT(10)	2499399283614789371	0 2 6 8 48 50 90 92 96 98	1101776547294