Prime p₀= 797307062166559037 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: eeeeee
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	797306054100556331	0 18 116 126 140 156 170 200 216 246 260 276 290 300 398 416	-1008066002706
TPT(14)	797306367262224317	0 2 114 116 180 182 192 194 222 224 240 242 372 374	-694904334720
STPT(10)	797306541494271671	0 2 36 38 78 80 120 122 156 158	-520672287366
SPT(16)	797306605748626327	0 12 54 72 82 96 132 142 144 154 190 204 214 232 274 286	-456417932710
STPT(10)	797306672390866997	0 2 60 62 72 74 84 86 144 146	-389775692040
STPT(10)	797306824959706421	0 2 6 8 48 50 90 92 96 98	-237206852616
SPT(16)	797307224664256693	0 4 30 58 66 70 78 88 126 136 144 148 156 184 210 214	162497697656
STPT(10)	797307457314317351	0 2 78 80 108 110 138 140 216 218	395147758314
TPT(14)	797307469071809807	0 2 12 14 24 26 42 44 60 62 234 236 282 284	406905250770
SPT(16)	797307470976374569	0 18 58 78 82 102 120 138 172 190 208 228 232 252 292 310	408809815532
STPT(10)	797307665453174171	0 2 6 8 18 20 30 32 36 38	603286615134