Prime p₀= 2726571516431677469 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: JayPi
db: batch=82, k=10, 2 16 2 40 2

SPT(16)	2726570784332144111	0 6 38 90 102 116 120 140 228 248 252 266 278 330 362 368	-732099533358
STPT(10)	2726570828475668789	0 2 18 20 30 32 42 44 60 62	-687956008680
SPT(16)	2726570880182953117	0 52 94 142 172 174 184 210 226 252 262 264 294 342 384 436	-636248724352
STPT(10)	2726570889315302969	0 2 42 44 60 62 78 80 120 122	-627116374500
SPT(16)	2726570985462015067	0 6 10 36 76 82 124 136 150 162 204 210 250 276 280 286	-530969662402
STPT(10)	2726571194228897957	0 2 30 32 42 44 54 56 84 86	-322202779512
SPT(16)	2726571578296066829	0 20 38 102 108 122 150 170 252 272 300 314 320 384 402 422	61864389360
STPT(10)	2726572065832433681	0 2 30 32 78 80 126 128 156 158	549400756212
SPT(16)	2726572102688867977	0 22 34 46 60 90 120 126 250 256 286 316 330 342 354 376	586257190508
STPT(10)	2726572472276662859	0 2 90 92 150 152 210 212 300 302	955844985390
SPT(16)	2726572525257547709	0 68 194 210 224 228 270 282 320 332 374 378 392 408 534 602	1008825870240