Prime p₀= 2582196885355717307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=82, k=10, 2 10 2 28 2

SPT(16)	2582195033389808497	0 16 112 124 156 162 216 246 280 310 364 370 402 414 510 526	-1851965908810
SPT(16)	2582195284544987857	0 72 114 126 132 144 196 210 316 330 382 394 400 412 454 526	-1600810729450
SPT(16)	2582195345434692019	0 48 64 88 112 120 190 204 238 252 322 330 354 378 394 442	-1539921025288
TPT(14)	2582196199556064827	0 2 72 74 84 86 114 116 150 152 180 182 222 224	-685799652480
STPT(10)	2582196492927537929	0 2 42 44 60 62 78 80 120 122	-392428179378
SPT(16)	2582196692660975449	0 12 22 30 34 78 94 100 132 138 154 198 202 210 220 232	-192694741858
SPT(16)	2582197019377513621	0 10 88 90 102 160 166 180 208 222 228 286 298 300 378 388	134021796314
STPT(10)	2582197054885264559	0 2 42 44 120 122 198 200 240 242	169529547252
SPT(16)	2582197119024312973	0 10 18 46 60 84 108 130 144 166 190 214 228 256 264 274	233668595666
STPT(10)	2582197141279928057	0 2 30 32 72 74 114 116 144 146	255924210750
SPT(16)	2582197292124940493	0 14 54 68 104 126 134 150 164 180 188 210 246 260 300 314	406769223186