Prime p₀= 1115091445127939957 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1115091219190358159	0 2 18 44 54 60 72 84 98 110 122 128 138 164 180 182	-225937581798
SPT(16)	1115091228024731911	0 16 30 90 100 126 130 150 178 198 202 228 238 298 312 328	-217103208046
SPT(16)	1115091241363781551	0 16 18 46 72 162 168 172 216 220 226 316 342 370 372 388	-203764158406
STPT(10)	1115091293721945341	0 2 6 8 48 50 90 92 96 98	-151405994616
SPT(16)	1115091296220276637	0 12 42 52 82 94 120 162 184 226 252 264 294 304 334 346	-148907663320
SPT(16)	1115091375402404077	0 10 42 82 150 192 216 256 306 346 370 412 480 520 552 562	-69725535880
SPT(16)	1115091556506734497	0 6 22 42 54 60 96 126 130 160 196 202 214 234 250 256	111378794540
STPT(10)	1115091763344746189	0 2 30 32 60 62 90 92 120 122	318216806232
SPT(16)	1115092519251806929	0 18 28 54 64 72 94 100 192 198 220 228 238 264 274 292	1074123866972
SPT(16)	1115093208983130353	0 6 44 86 96 98 110 144 170 204 216 218 228 270 308 314	1763855190396
STPT(10)	1115093303778951197	0 2 30 32 42 44 54 56 84 86	1858651011240