Prime p₀= 2237115681676005857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2237114845540185643	0 18 28 48 54 58 90 118 126 154 186 190 196 216 226 244	-836135820214
SPT(16)	2237115030612885589	0 12 40 64 130 162 180 204 238 262 280 312 378 402 430 442	-651063120268
STPT(10)	2237115123652260581	0 2 36 38 78 80 120 122 156 158	-558023745276
STPT(10)	2237115277891950299	0 2 18 20 30 32 42 44 60 62	-403784055558
STPT(10)	2237115634423472609	0 2 78 80 120 122 162 164 240 242	-47252533248
SPT(16)	2237115669449709383	0 18 30 54 80 84 104 150 188 234 254 258 284 308 320 338	-12226296474
SPT(16)	2237115831311334697	0 16 40 66 114 124 180 196 204 220 276 286 334 360 384 400	149635328840
SPT(16)	2237115900911428357	0 6 16 22 52 142 150 162 184 196 204 294 324 330 340 346	219235422500
STPT(10)	2237116466690405549	0 2 18 20 30 32 42 44 60 62	785014399692
STPT(12)	2237116533670465961	0 2 66 68 96 98 120 122 150 152 216 218	851994460104
SPT(16)	2237116840177402769	0 18 20 50 60 98 102 138 182 218 222 260 270 300 302 320	1158501396912