Prime p₀= 2784953778012902957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2784952014145881763	0 10 60 78 106 126 130 150 166 186 190 210 238 256 306 316	-1763867021194
STPT(10)	2784952229530901531	0 2 6 8 48 50 90 92 96 98	-1548482001426
STPT(10)	2784952341671164961	0 2 6 8 18 20 30 32 36 38	-1436341737996
SPT(16)	2784952446874348937	0 2 6 42 72 92 96 104 162 170 174 194 224 260 264 266	-1331138554020
TPT(14)	2784952737362358569	0 2 138 140 198 200 222 224 282 284 312 314 450 452	-1040650544388
SPT(16)	2784953020978147049	0 8 18 38 108 134 150 158 174 182 198 224 294 314 324 332	-757034755908
SPT(16)	2784953790903581831	0 56 92 140 158 200 230 248 270 288 318 360 378 426 462 518	12890678874
TPT(14)	2784953803074243299	0 2 30 32 42 44 48 50 78 80 90 92 210 212	25061340342
STPT(10)	2784954346020134339	0 2 18 20 30 32 42 44 60 62	568007231382
SPT(16)	2784954771795084859	0 10 18 42 48 60 124 130 132 138 202 214 220 244 252 262	993782181902
SPT(16)	2784955377337474981	0 6 40 76 100 112 142 178 180 216 246 258 282 318 352 358	1599324572024