Prime p₀= 2322256936517865239 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: JonS
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2322256099292649791	0 8 38 176 182 258 260 272 516 528 530 606 612 750 780 788	-837225215448
STPT(10)	2322256195366085549	0 2 18 20 30 32 42 44 60 62	-741151779690
TPT(14)	2322256639740901319	0 2 30 32 78 80 108 110 210 212 240 242 288 290	-296776963920
STPT(12)	2322256639740901349	0 2 48 50 78 80 180 182 210 212 258 260	-296776963890
SPT(16)	2322256716663772327	0 22 54 70 82 106 160 204 262 306 360 384 396 412 444 466	-219854092912
SPT(16)	2322256790360244317	0 6 30 54 56 60 110 116 180 186 236 240 242 266 290 296	-146157620922
SPT(16)	2322257313464450189	0 2 32 60 104 132 144 150 164 170 182 210 254 282 312 314	376946584950
SPT(16)	2322257435048087039	0 42 48 104 122 140 164 180 182 198 222 240 258 314 320 362	498530221800
SPT(16)	2322257626360262519	0 24 62 84 110 122 152 164 210 222 252 264 290 312 350 374	689842397280
SPT(13)	2322257682363973463	0 30 48 90 96 156 198 240 300 306 348 366 396	745846108224
STPT(10)	2322258256828859747	0 2 30 32 72 74 114 116 144 146	1320310994508