Prime p₀= 1874233889372899697 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: suriv
db: batch=79, k=10, 2 28 2 10 2

SPT(16)	1874231375537094401	0 20 50 62 66 86 92 198 260 366 372 392 396 408 438 458	-2513835805296
STPT(10)	1874232433600864367	0 2 30 32 60 62 90 92 120 122	-1455772035330
STPT(10)	1874233210140174641	0 2 6 8 18 20 30 32 36 38	-679232725056
STPT(10)	1874233300538664851	0 2 36 38 78 80 120 122 156 158	-588834234846
SPT(16)	1874233456166935459	0 18 24 60 78 88 100 102 190 192 204 214 232 268 274 292	-433205964238
TPT(14)	1874233471626380411	0 2 96 98 120 122 150 152 156 158 180 182 198 200	-417746519286
SPT(16)	1874233901516595889	0 22 28 34 58 70 90 100 102 112 132 144 168 174 180 202	12143696192
STPT(10)	1874234106560986067	0 2 42 44 72 74 102 104 144 146	217188086370
SPT(16)	1874234441952168917	0 20 26 36 62 80 102 110 132 140 162 180 206 216 222 242	552579269220
TPT(14)	1874235174406835081	0 2 30 32 48 50 78 80 156 158 186 188 228 230	1285033935384
SPT(16)	1874235277500691363	0 16 88 100 108 114 126 136 228 238 250 256 264 276 348 364	1388127791666