Prime p₀= 927567582712026857 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: crashtech
db: batch=76, k=10, 2 10 2 28 2

STPT(10)	927566350013006057	0 2 12 14 72 74 132 134 144 146	-1232699020800
STPT(10)	927566692346010257	0 2 90 92 102 104 114 116 204 206	-890366016600
SPT(16)	927566850205308647	0 32 36 60 140 174 206 224 252 270 302 336 416 440 444 476	-732506718210
TPT(14)	927567015642796367	0 2 12 14 24 26 102 104 114 116 144 146 210 212	-567069230490
SPT(16)	927567084426831047	0 12 50 84 90 96 134 140 216 222 260 266 272 306 344 356	-498285195810
SPT(16)	927567577968804659	0 14 20 38 54 78 80 110 132 162 164 188 204 222 228 242	-4743222198
SPT(16)	927567641892317719	0 30 34 72 88 112 144 154 228 238 270 294 310 348 352 382	59180290862
TPT(14)	927567962441108477	0 2 12 14 102 104 150 152 192 194 264 266 294 296	379729081620
STPT(10)	927568017423302711	0 2 30 32 78 80 126 128 156 158	434711275854
SPT(16)	927568090962731291	0 30 38 50 62 72 98 108 152 162 188 198 210 222 230 260	508250704434
SPT(16)	927568865998261363	0 10 18 64 106 108 120 130 174 184 196 198 240 286 294 304	1283286234506