Prime p₀= 976896687738140537 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	976895203301535443	0 8 38 78 80 84 104 134 204 234 254 258 260 300 330 338	-1484436605094
STPT(10)	976895556499403897	0 2 42 44 72 74 102 104 144 146	-1131238736640
SPT(16)	976896115641803611	0 72 78 88 108 126 150 190 198 238 262 280 300 310 316 388	-572096336926
TPT(14)	976896402670781471	0 2 90 92 126 128 180 182 216 218 240 242 270 272	-285067359066
SPT(16)	976896519296350981	0 12 16 18 66 96 108 130 138 160 172 202 250 252 256 268	-168441789556
STPT(10)	976896675015685517	0 2 30 32 60 62 90 92 120 122	-12722455020
STPT(10)	976896836579426639	0 2 30 32 60 62 90 92 120 122	148841286102
SPT(16)	976896977673511987	0 36 42 60 94 112 120 136 180 196 204 222 256 274 280 316	289935371450
STPT(10)	976897123963073501	0 2 138 140 168 170 198 200 336 338	436224932964
SPT(18)	976897280718666493	0 28 30 54 60 64 88 90 120 124 154 156 180 184 190 214 216 244	592980525956
TPT(14)	976897485641630951	0 2 30 32 60 62 66 68 138 140 168 170 186 188	797903490414