Prime p₀= 2121857999134335347 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: Landjunge
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2121854876863858351	0 22 36 52 70 76 90 130 168 208 222 228 246 262 276 298	-3122270476996
STPT(10)	2121855726253678067	0 2 30 32 102 104 174 176 204 206	-2272880657280
SPT(16)	2121856199384434399	0 34 40 52 54 60 112 222 250 360 412 418 420 432 438 472	-1799749900948
SPT(16)	2121857310783086743	0 16 114 118 124 126 136 154 180 198 208 210 216 220 318 334	-688351248604
TPT(14)	2121857649237746699	0 2 102 104 108 110 198 200 222 224 240 242 312 314	-349896588648
SPT(16)	2121857972912103259	0 18 52 54 60 84 114 124 198 208 238 262 268 270 304 322	-26222232088
SPT(16)	2121858153350460769	0 12 72 90 112 114 144 154 228 238 268 270 292 310 370 382	154216125422
TPT(14)	2121858171225565469	0 2 102 104 138 140 180 182 228 230 300 302 312 314	172091230122
STPT(10)	2121858246332861747	0 2 12 14 42 44 72 74 84 86	247198526400
SPT(16)	2121858313958872901	0 12 80 96 102 122 132 140 198 206 216 236 242 258 326 338	314824537554
TPT(14)	2121858396859490897	0 2 12 14 24 26 54 56 84 86 150 152 192 194	397725155550