Prime p₀= 2256131874761150201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2256129752247786509	0 42 44 78 108 122 150 152 180 182 210 224 254 288 290 332	-2122513363692
SPT(16)	2256130085284400161	0 16 28 48 72 102 106 132 196 222 226 256 280 300 312 328	-1789476750040
STPT(10)	2256130161115794737	0 2 42 44 72 74 102 104 144 146	-1713645355464
STPT(10)	2256130699458156317	0 2 24 26 42 44 60 62 84 86	-1175302993884
SPT(16)	2256131176432009069	0 18 30 42 58 100 118 168 232 282 300 342 358 370 382 400	-698329141132
STPT(10)	2256131533273622831	0 2 30 32 78 80 126 128 156 158	-341487527370
SPT(16)	2256132228163147507	0 52 76 136 166 216 244 262 294 312 340 390 420 480 504 556	353401997306
STPT(10)	2256132310722302861	0 2 36 38 78 80 120 122 156 158	435961152660
STPT(10)	2256132501538668629	0 2 30 32 60 62 90 92 120 122	626777518428
TPT(14)	2256132631222262699	0 2 12 14 60 62 132 134 408 410 420 422 462 464	756461112498
SPT(16)	2256133174085707841	0 18 60 78 86 108 116 158 168 210 218 240 248 266 308 326	1299324557640