Prime p₀= 1294474530038004611 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1294473662841450337	0 16 46 54 100 156 162 184 192 214 220 276 322 330 360 376	-867196554274
STPT(10)	1294473820221938687	0 2 90 92 102 104 114 116 204 206	-709816065924
SPT(16)	1294473966321477869	0 2 14 30 42 90 110 144 170 204 224 272 284 300 312 314	-563716526742
STPT(10)	1294473993098692517	0 2 42 44 72 74 102 104 144 146	-536939312094
STPT(10)	1294474226504176181	0 2 36 38 78 80 120 122 156 158	-303533828430
SPT(18)	1294474465229145559	0 10 28 42 60 88 118 130 154 258 282 294 324 352 370 384 402 412	-64808859052
SPT(16)	1294474588962275143	0 16 24 76 96 100 108 126 148 166 174 178 198 250 258 274	58924270532
TPT(14)	1294474650107460551	0 2 30 32 120 122 186 188 210 212 228 230 240 242	120069455940
SPT(16)	1294474658787462727	0 70 82 106 130 144 154 190 246 282 292 306 330 354 366 436	128749458116
STPT(10)	1294474673759647481	0 2 6 8 48 50 90 92 96 98	143721642870
SPT(16)	1294474877028455099	0 42 54 80 84 90 102 132 152 182 194 200 204 230 242 284	346990450488