Prime p₀= 2746132627833392849 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

SPT(13)	2746131257679632027	0 6 30 66 126 144 150 156 174 234 270 294 300	-1370153760822
STPT(10)	2746131463488139091	0 2 30 32 78 80 126 128 156 158	-1164345253758
SPT(16)	2746131707896090511	0 2 6 20 26 60 72 86 156 170 182 216 222 236 240 242	-919937302338
SPT(16)	2746131764456125769	0 14 48 98 110 114 188 198 230 240 314 318 330 380 414 428	-863377267080
STPT(10)	2746131851737751831	0 2 6 8 48 50 90 92 96 98	-776095641018
SPT(16)	2746132308907870039	0 42 114 150 154 174 192 202 300 310 328 348 352 388 460 502	-318925522810
SPT(16)	2746132651552330967	0 12 20 26 42 54 56 62 174 180 182 194 210 216 224 236	23718938118
STPT(10)	2746132705628451911	0 2 30 32 78 80 126 128 156 158	77795059062
STPT(10)	2746132807161053657	0 2 12 14 42 44 72 74 84 86	179327660808
SPT(16)	2746133497177039289	0 62 74 140 162 180 188 204 248 264 272 290 312 378 390 452	869343646440
SPT(16)	2746133601246541901	0 42 72 90 132 146 162 168 170 176 192 206 248 266 296 338	973413149052