Prime p₀= 1289388000278179577 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 28 2

STPT(10)	1289386134665031551	0 2 36 38 78 80 120 122 156 158	-1865613148026
SPT(16)	1289387492840830949	0 14 44 54 80 108 150 168 224 242 284 312 338 348 378 392	-507437348628
SPT(16)	1289387608063513121	0 36 50 56 98 102 108 116 132 140 146 150 192 198 212 248	-392214666456
TPT(14)	1289387660475919091	0 2 6 8 36 38 48 50 90 92 126 128 150 152	-339802260486
SPT(16)	1289387669692206463	0 30 40 54 66 84 96 108 196 208 220 238 250 264 274 304	-330585973114
SPT(16)	1289387820489077237	0 14 32 42 54 60 84 92 102 110 134 140 152 162 180 194	-179789102340
SPT(16)	1289388001258939927	0 16 24 34 94 100 142 144 202 204 246 252 312 322 330 346	980760350
SPT(16)	1289388048858433417	0 34 54 84 126 136 150 166 174 190 204 214 256 286 306 340	48580253840
SPT(16)	1289388637907087231	0 26 78 90 120 132 152 176 252 276 296 308 338 350 402 428	637628907654
STPT(10)	1289389330241920799	0 2 48 50 90 92 132 134 180 182	1329963741222
SPT(16)	1289389487358872843	0 6 14 30 84 104 114 116 138 140 150 170 224 240 248 254	1487080693266