Prime p₀= 1233830263218302777 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: Raspo
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1233829552035769651	0 28 40 42 48 78 118 120 130 132 172 202 208 210 222 250	-711182533126
STPT(10)	1233829645586719799	0 2 48 50 60 62 72 74 120 122	-617631582978
SPT(16)	1233829853396227979	0 20 30 38 50 68 78 84 134 140 150 168 180 188 198 218	-409822074798
SPT(16)	1233830021558398951	0 10 12 16 36 46 58 82 126 150 162 172 192 196 198 208	-241659903826
SPT(16)	1233830170681652623	0 76 78 88 100 118 126 144 160 178 186 204 216 226 228 304	-92536650154
STPT(10)	1233830199769305371	0 2 36 38 78 80 120 122 156 158	-63448997406
TPT(14)	1233830345302114421	0 2 96 98 138 140 168 170 240 242 246 248 330 332	82083811644
SPT(16)	1233830835034459747	0 60 94 150 186 210 226 274 276 324 340 364 400 456 490 550	571816156970
STPT(10)	1233830994546750701	0 2 6 8 48 50 90 92 96 98	731328447924
STPT(10)	1233831047758082507	0 2 24 26 42 44 60 62 84 86	784539779730
STPT(10)	1233832007982128297	0 2 12 14 42 44 72 74 84 86	1744763825520