Prime p₀= 2111997068786359621 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 30 6 18 6 24 30 16 30 24 6 18 6 30 12 (?)
a_n: 0 12 42 48 66 72 96 126 142 172 196 202 220 226 256 268
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 268
Found by: gemini8
db: batch=80, k=16, 12 30 6 18 6 24 30 16

STPT(10)	2111995960768052501	0 2 6 8 18 20 30 32 36 38	-1108018307120
SPT(16)	2111996044225277779	0 28 90 174 178 184 210 214 258 262 288 294 298 382 444 472	-1024561081842
SPT(16)	2111996176092169249	0 12 42 70 84 120 150 220 264 334 364 400 414 442 472 484	-892694190372
SPT(16)	2111996237987908843	0 54 70 88 124 204 214 226 228 240 250 330 366 384 400 454	-830798450778
TPT(14)	2111996584356709679	0 2 30 32 102 104 222 224 360 362 402 404 432 434	-484429649942
SPT(16)	2111996719327524163	0 28 36 54 58 70 94 106 198 210 234 246 250 268 276 304	-349458835458
SPT(16)	2111997482994320197	0 40 64 66 112 124 126 132 154 160 162 174 220 222 246 286	414207960576
SPT(16)	2111997525190451357	0 2 42 72 86 104 110 132 134 156 162 180 194 224 264 266	456404091736
STPT(10)	2111997882555944837	0 2 24 26 42 44 60 62 84 86	813769585216
SPT(16)	2111997895754363417	0 62 72 86 140 152 176 236 240 300 324 336 390 404 414 476	826968003796
TPT(14)	2111998055908522709	0 2 48 50 72 74 102 104 168 170 252 254 312 314	987122163088