Prime p₀= 2680778964066399377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2680777584483641413	0 70 84 88 138 144 150 180 184 214 220 226 276 280 294 364	-1379582757964
TPT(14)	2680778080547445917	0 2 24 26 84 86 120 122 192 194 294 296 342 344	-883518953460
SPT(16)	2680778380839627361	0 12 28 30 82 112 132 142 168 178 198 228 280 282 298 310	-583226772016
SPT(16)	2680778550499584281	0 66 68 80 90 96 110 116 132 138 152 158 168 180 182 248	-413566815096
STPT(10)	2680778695036510889	0 2 42 44 60 62 78 80 120 122	-269029888488
STPT(10)	2680778760981299159	0 2 18 20 30 32 42 44 60 62	-203085100218
SPT(16)	2680779086902550581	0 30 58 70 72 106 150 162 226 238 282 316 318 330 358 388	122836151204
STPT(10)	2680779141938568899	0 2 48 50 90 92 132 134 180 182	177872169522
SPT(16)	2680779188890762159	0 12 22 28 70 132 168 184 228 244 280 342 384 390 400 412	224824362782
STPT(12)	2680779296088229289	0 2 30 32 48 50 72 74 90 92 120 122	332021829912
SPT(16)	2680779303236404987	0 12 36 70 82 96 100 112 114 126 130 144 156 190 214 226	339170005610