Prime p₀= 3216237282809760161 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: vaughan
db: batch=83, k=10, 2 76 2 58 2

SPT(16)	3216236276028125501	0 20 62 92 110 180 186 240 242 296 302 372 390 420 462 482	-1006781634660
STPT(10)	3216236522571178817	0 2 42 44 72 74 102 104 144 146	-760238581344
SPT(16)	3216236705307470233	0 28 78 88 90 130 166 174 280 288 324 364 366 376 426 454	-577502289928
TPT(14)	3216237139758602801	0 2 6 8 48 50 78 80 156 158 228 230 330 332	-143051157360
STPT(10)	3216237196175824697	0 2 30 32 60 62 90 92 120 122	-86633935464
SPT(16)	3216237247983441289	0 4 12 60 88 114 130 150 202 222 238 264 292 340 348 352	-34826318872
STPT(10)	3216237367997709827	0 2 30 32 72 74 114 116 144 146	85187949666
SPT(16)	3216237525122576057	0 24 36 96 146 230 252 266 270 284 306 390 440 500 512 536	242312815896
SPT(16)	3216238002196189423	0 6 10 24 48 84 88 96 208 216 220 256 280 294 298 304	719386429262
SPT(16)	3216238375071227581	0 6 12 22 40 60 70 82 126 138 148 168 186 196 202 208	1092261467420
TPT(14)	3216238444538239187	0 2 60 62 72 74 84 86 144 146 210 212 222 224	1161728479026