Prime p₀= 2713781383333006109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	2713779710980705769	0 20 80 114 138 164 168 198 230 260 264 290 314 348 408 428	-1672352300340
SPT(16)	2713779790730116057	0 4 52 54 66 94 120 126 130 136 162 190 202 204 252 256	-1592602890052
SPT(16)	2713780493884288363	0 30 54 78 100 120 126 148 156 178 184 204 226 250 274 304	-889448717746
STPT(10)	2713780699710340187	0 2 54 56 72 74 90 92 144 146	-683622665922
SPT(16)	2713780788500330113	0 6 96 108 136 166 180 204 220 244 258 288 316 328 418 424	-594832675996
STPT(10)	2713780961172304781	0 2 6 8 18 20 30 32 36 38	-422160701328
STPT(10)	2713781709275070167	0 2 30 32 42 44 54 56 84 86	325942064058
STPT(10)	2713781815701035867	0 2 12 14 72 74 132 134 144 146	432368029758
SPT(16)	2713782163324178431	0 60 72 78 102 106 136 148 150 162 192 196 220 226 238 298	779991172322
STPT(10)	2713782171816302957	0 2 30 32 42 44 54 56 84 86	788483296848
SPT(16)	2713782723033638017	0 12 46 60 72 90 136 150 202 216 262 280 292 306 340 352	1339700631908