Prime p₀= 2310279119979755081 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: FritzB
db: batch=81, k=10, 2 64 2 40 2

SPT(16)	2310278003890121627	0 36 42 92 116 180 186 222 224 260 266 330 354 404 410 446	-1116089633454
TPT(14)	2310278318958501779	0 2 30 32 138 140 180 182 198 200 420 422 450 452	-801021253302
STPT(10)	2310278347485383831	0 2 6 8 48 50 90 92 96 98	-772494371250
SPT(16)	2310278690077857839	0 2 42 60 74 90 104 114 158 168 182 198 212 230 270 272	-429901897242
SPT(16)	2310278823057569747	0 14 54 56 92 104 126 164 192 230 252 264 300 302 342 356	-296922185334
SPT(16)	2310278833496834939	0 18 60 72 78 84 90 134 138 182 188 194 200 212 254 272	-286482920142
STPT(10)	2310279274015176437	0 2 30 32 42 44 54 56 84 86	154035421356
SPT(16)	2310279500330715829	0 18 34 40 60 84 114 160 192 238 268 292 312 318 334 352	380350960748
STPT(10)	2310279627268700081	0 2 36 38 78 80 120 122 156 158	507288945000
SPT(16)	2310279915040887059	0 14 30 44 74 84 102 132 152 182 200 210 240 254 270 284	795061131978
SPT(16)	2310280078008968069	0 44 54 92 120 158 168 170 252 254 264 302 330 368 378 422	958029212988