Prime p₀= 2313596622407278847 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: Orange Kid
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2313595254797632657	0 34 36 54 60 70 90 106 150 166 186 196 202 220 222 256	-1367609646190
STPT(10)	2313595295383267667	0 2 30 32 72 74 114 116 144 146	-1327024011180
STPT(10)	2313595837326682169	0 2 48 50 60 62 72 74 120 122	-785080596678
STPT(10)	2313595878573109967	0 2 42 44 72 74 102 104 144 146	-743834168880
SPT(16)	2313596304170433467	0 6 66 162 206 216 282 290 432 440 506 516 560 656 716 722	-318236845380
SPT(16)	2313596445545432843	0 56 78 98 108 110 144 168 176 200 234 236 246 266 288 344	-176861846004
STPT(10)	2313596740755082379	0 2 42 44 60 62 78 80 120 122	118347803532
STPT(10)	2313597014905448651	0 2 36 38 78 80 120 122 156 158	392498169804
SPT(16)	2313597046202947709	0 44 78 102 114 164 200 224 228 252 288 338 350 374 408 452	423795668862
STPT(10)	2313597144492923279	0 2 48 50 90 92 132 134 180 182	522085644432
STPT(10)	2313597550050116117	0 2 60 62 72 74 84 86 144 146	927642837270