Prime p₀= 2396218053502730057 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: Boliver
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2396215363384693423	0 30 66 94 226 238 256 286 378 408 426 438 570 598 634 664	-2690118036634
TPT(14)	2396215702558199657	0 2 114 116 132 134 174 176 300 302 312 314 330 332	-2350944530400
STPT(10)	2396216450631603371	0 2 36 38 78 80 120 122 156 158	-1602871126686
TPT(14)	2396217190263844877	0 2 24 26 42 44 72 74 114 116 150 152 210 212	-863238885180
SPT(16)	2396217232682785651	0 16 42 46 88 130 132 142 156 166 168 210 252 256 282 298	-820819944406
SPT(16)	2396217937273152221	0 6 8 20 26 42 60 78 80 98 116 132 138 150 152 158	-116229577836
TPT(14)	2396218144844644667	0 2 30 32 42 44 72 74 120 122 204 206 252 254	91341914610
SPT(16)	2396218282585294877	0 2 6 24 72 120 132 134 162 164 176 224 272 290 294 296	229082564820
TPT(14)	2396218370515816331	0 2 78 80 210 212 258 260 300 302 378 380 408 410	317013086274
SPT(16)	2396218830506178709	0 40 48 70 72 78 82 108 292 318 322 328 330 352 360 400	777003448652
SPT(16)	2396218852983279041	0 2 12 56 60 68 72 90 98 116 120 128 132 176 186 188	799480548984