Prime p₀= 2537551876758485537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2537550087033550409	0 2 42 44 60 62 78 80 120 122	-1789724935128
TPT(14)	2537550305511725429	0 2 30 32 48 50 132 134 162 164 210 212 228 230	-1571246760108
SPT(16)	2537550516043988321	0 2 42 50 56 62 78 122 126 170 186 192 198 206 246 248	-1360714497216
SPT(16)	2537550520604272477	0 40 66 84 90 100 124 154 222 252 276 286 292 310 336 376	-1356154213060
SPT(13)	2537550856287333499	0 12 42 54 60 120 132 144 204 210 222 252 264	-1020471152038
SPT(16)	2537551842553992359	0 8 18 72 78 120 170 218 252 300 350 392 398 452 462 470	-34204493178
STPT(10)	2537551891057987547	0 2 42 44 72 74 102 104 144 146	14299502010
STPT(10)	2537552136533401121	0 2 36 38 78 80 120 122 156 158	259774915584
TPT(14)	2537552275476891089	0 2 30 32 132 134 180 182 198 200 258 260 312 314	398718405552
SPT(16)	2537552336574130553	0 20 86 90 98 104 156 168 236 248 300 306 314 318 384 404	459815645016
SPT(16)	2537552548916826449	0 24 74 98 108 138 140 152 210 222 224 254 264 288 338 362	672158340912