Prime p₀= 2310278347485383831 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: FritzB
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2310277743240423127	0 84 100 106 112 120 124 162 244 282 286 294 300 306 322 406	-604244960704
SPT(16)	2310277871624629493	0 20 38 74 110 144 158 164 300 306 320 354 390 426 444 464	-475860754338
STPT(10)	2310277879144345007	0 2 42 44 72 74 102 104 144 146	-468341038824
STPT(10)	2310277995010642757	0 2 90 92 102 104 114 116 204 206	-352474741074
SPT(16)	2310278003890121627	0 36 42 92 116 180 186 222 224 260 266 330 354 404 410 446	-343595262204
TPT(14)	2310278318958501779	0 2 30 32 138 140 180 182 198 200 420 422 450 452	-28526882052
SPT(16)	2310278690077857839	0 2 42 60 74 90 104 114 158 168 182 198 212 230 270 272	342592474008
SPT(16)	2310278823057569747	0 14 54 56 92 104 126 164 192 230 252 264 300 302 342 356	475572185916
SPT(16)	2310278833496834939	0 18 60 72 78 84 90 134 138 182 188 194 200 212 254 272	486011451108
STPT(10)	2310279119979755081	0 2 66 68 108 110 150 152 216 218	772494371250
STPT(10)	2310279274015176437	0 2 30 32 42 44 54 56 84 86	926529792606