Prime p₀= 2056749631621154147 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)	2056748707413587753	0 24 30 44 54 68 90 96 158 164 186 200 210 224 230 254	-924207566394
TPT(14)	2056748761385348939	0 2 60 62 150 152 228 230 240 242 252 254 390 392	-870235805208
STPT(10)	2056748822953298471	0 2 6 8 48 50 90 92 96 98	-808667855676
STPT(10)	2056749049858584857	0 2 12 14 42 44 72 74 84 86	-581762569290
SPT(16)	2056749141328903223	0 60 66 86 156 164 170 228 236 294 300 308 378 398 404 464	-490292250924
SPT(16)	2056749552535394183	0 18 24 38 56 60 68 74 90 96 104 108 126 140 146 164	-79085759964
TPT(14)	2056749698797546469	0 2 138 140 162 164 192 194 222 224 300 302 390 392	67176392322
SPT(16)	2056750144352769409	0 4 24 40 52 60 90 112 192 214 244 252 264 280 300 304	512731615262
STPT(10)	2056750516737310907	0 2 120 122 162 164 204 206 324 326	885116156760
SPT(16)	2056750702350705203	0 14 24 38 50 96 98 126 248 276 278 324 336 350 360 374	1070729551056
SPT(16)	2056751455549895723	0 78 80 110 114 128 156 164 180 188 216 230 234 264 266 344	1823928741576