Prime p₀= 927568017423302711 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: crashtech
db: batch=76, k=10, 2 28 2 46 2

TPT(14)	927567015642796367	0 2 12 14 24 26 102 104 114 116 144 146 210 212	-1001780506344
SPT(16)	927567084426831047	0 12 50 84 90 96 134 140 216 222 260 266 272 306 344 356	-932996471664
SPT(16)	927567577968804659	0 14 20 38 54 78 80 110 132 162 164 188 204 222 228 242	-439454498052
STPT(10)	927567582712026857	0 2 12 14 42 44 72 74 84 86	-434711275854
SPT(16)	927567641892317719	0 30 34 72 88 112 144 154 228 238 270 294 310 348 352 382	-375530984992
TPT(14)	927567962441108477	0 2 12 14 102 104 150 152 192 194 264 266 294 296	-54982194234
SPT(16)	927568090962731291	0 30 38 50 62 72 98 108 152 162 188 198 210 222 230 260	73539428580
SPT(16)	927568865998261363	0 10 18 64 106 108 120 130 174 184 196 198 240 286 294 304	848574958652
SPT(16)	927569022432726601	0 36 96 130 186 226 252 256 306 310 336 376 432 466 526 562	1005009423890
STPT(10)	927569211853046141	0 2 36 38 78 80 120 122 156 158	1194429743430
SPT(16)	927569330011975381	0 22 40 106 108 112 120 148 180 208 216 220 222 288 306 328	1312588672670