Prime p₀= 2568370665203111267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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 40 2 28 2

SPT(16)	2568369615147917041	0 6 28 48 60 82 112 126 142 156 186 208 220 240 262 268	-1050055194226
SPT(16)	2568369822184481881	0 12 30 46 82 118 166 210 298 342 390 426 462 478 496 508	-843018629386
SPT(16)	2568370073705900221	0 6 28 30 70 76 106 118 150 162 192 198 238 240 262 268	-591497211046
STPT(10)	2568370120479229247	0 2 30 32 42 44 54 56 84 86	-544723882020
SPT(16)	2568370239486972469	0 90 120 138 148 154 160 168 280 288 294 300 310 328 358 448	-425716138798
STPT(10)	2568370355836306139	0 2 18 20 30 32 42 44 60 62	-309366805128
TPT(14)	2568370750502651201	0 2 6 8 126 128 156 158 228 230 240 242 246 248	85299539934
TPT(14)	2568370770804925739	0 2 30 32 72 74 132 134 168 170 210 212 240 242	105601814472
TPT(14)	2568370946697231341	0 2 30 32 96 98 108 110 150 152 240 242 246 248	281494120074
SPT(16)	2568371212000104611	0 38 42 48 50 60 86 122 126 162 188 198 200 206 210 248	546796993344
STPT(10)	2568371292204154637	0 2 30 32 72 74 114 116 144 146	627001043370