Prime p₀= 1230602072831065577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: gemini8
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1230600620238334307	0 2 30 32 42 44 54 56 84 86	-1452592731270
SPT(16)	1230600776471790733	0 48 58 60 76 78 126 130 144 148 196 198 214 216 226 274	-1296359274844
SPT(16)	1230601292444957117	0 12 14 44 72 86 110 116 150 156 180 194 222 252 254 266	-780386108460
SPT(16)	1230601438326802099	0 10 28 70 90 108 132 148 192 208 232 250 270 312 330 340	-634504263478
STPT(10)	1230601588744506929	0 2 18 20 30 32 42 44 60 62	-484086558648
SPT(16)	1230601716982100989	0 22 28 42 82 108 120 130 162 172 184 210 250 264 270 292	-355848964588
SPT(16)	1230602335695195457	0 12 16 24 70 126 144 180 196 232 250 306 352 360 364 376	262864129880
SPT(16)	1230602590137674147	0 30 56 120 144 170 176 216 254 294 300 326 350 414 440 470	517306608570
SPT(16)	1230602680804506469	0 4 18 22 52 108 118 154 168 204 214 270 300 304 318 322	607973440892
SPT(16)	1230602754971386717	0 30 40 46 114 142 172 216 250 294 324 352 420 426 436 466	682140321140
SPT(16)	1230602832006534611	0 6 18 60 78 86 108 122 126 140 162 170 188 230 242 248	759175469034