Prime p₀= 2525874897211878809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Hightower
db: batch=82, k=10, 2 16 2 40 2

TPT(16)	2525873561583365207	0 2 30 32 42 44 84 86 132 134 144 146 210 212 294 296	-1335628513602
SPT(18)	2525873652607453787	0 20 36 42 74 104 156 176 200 216 240 260 312 342 374 380 396 416	-1244604425022
SPT(16)	2525873945556179327	0 14 20 54 90 92 120 126 140 146 174 176 212 246 252 266	-951655699482
SPT(16)	2525874204900937889	0 38 48 62 98 102 138 140 150 152 188 192 228 242 252 290	-692310940920
SPT(16)	2525874387215929573	0 4 18 24 46 94 96 124 150 178 180 228 250 256 270 274	-509995949236
SPT(16)	2525874619216702073	0 50 66 108 138 146 180 234 290 344 378 386 416 458 474 524	-277995176736
SPT(16)	2525875189997997947	0 14 20 30 90 102 114 132 194 212 224 236 296 306 312 326	292786119138
STPT(10)	2525875345964278127	0 2 30 32 42 44 54 56 84 86	448752399318
STPT(10)	2525875808891276921	0 2 30 32 78 80 126 128 156 158	911679398112
SPT(16)	2525875897307387533	0 30 150 166 178 208 270 306 340 376 438 468 480 496 616 646	1000095508724
SPT(16)	2525876021385467887	0 10 34 76 112 120 126 132 154 160 166 174 210 252 276 286	1124173589078