Prime p₀= 2391638488341702497 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: Conan
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2391636928830584509	0 18 40 60 78 100 142 172 198 228 270 292 310 330 352 370	-1559511117988
SPT(13)	2391636936430166353	0 60 66 96 126 174 180 186 234 264 294 300 360	-1551911536144
SPT(16)	2391637191459087059	0 14 42 68 78 90 102 120 122 140 152 164 174 200 228 242	-1296882615438
SPT(16)	2391637936499122697	0 12 14 26 84 92 144 182 204 242 294 302 360 372 374 386	-551842579800
STPT(10)	2391637977212846807	0 2 30 32 42 44 54 56 84 86	-511128855690
STPT(10)	2391638027091130001	0 2 30 32 60 62 90 92 120 122	-461250572496
SPT(16)	2391638566162482799	0 4 84 94 114 130 138 144 148 154 162 178 198 208 288 292	77820780302
SPT(16)	2391638822908356907	0 12 22 30 34 64 84 90 106 112 132 162 166 174 184 196	334566654410
STPT(10)	2391639315278162861	0 2 6 8 18 20 30 32 36 38	826936460364
STPT(10)	2391639610072939229	0 2 48 50 90 92 132 134 180 182	1121731236732
SPT(16)	2391639891125753627	0 20 42 62 90 126 132 146 150 164 170 206 234 254 276 296	1402784051130