Prime p₀= 2296630058477451797 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: Orange Kid
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2296629511105403867	0 2 30 32 42 44 54 56 84 86	-547372047930
STPT(10)	2296629615271497521	0 2 36 38 78 80 120 122 156 158	-443205954276
SPT(16)	2296629762091332827	0 26 60 80 104 126 150 162 164 176 200 222 246 266 300 326	-296386118970
TPT(14)	2296629825884348567	0 2 42 44 54 56 90 92 114 116 174 176 240 242	-232593103230
SPT(16)	2296629969319649191	0 18 48 60 82 120 126 156 172 202 208 246 268 280 310 328	-89157802606
STPT(10)	2296630054456234697	0 2 30 32 72 74 114 116 144 146	-4021217100
TPT(14)	2296630836041194061	0 2 48 50 66 68 78 80 90 92 126 128 180 182	777563742264
STPT(10)	2296630931075698517	0 2 24 26 42 44 60 62 84 86	872598246720
SPT(16)	2296631230426304509	0 24 52 70 90 108 114 124 168 178 184 202 222 240 268 292	1171948852712
SPT(16)	2296631318138521261	0 18 22 46 132 148 162 192 196 226 240 256 342 366 370 388	1259661069464
SPT(16)	2296632680784828583	0 18 28 46 114 120 138 148 186 196 214 220 288 306 316 334	2622307376786