Prime p₀= 3978846670244100617 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: Ralfy
db: batch=84, k=10, 2 28 2 10 2

STPT(10)	3978843548727455669	0 2 48 50 60 62 72 74 120 122	-3121516644948
TPT(16)	3978844489825799519	0 2 30 32 72 74 78 80 102 104 120 122 210 212 228 230	-2180418301098
SPT(16)	3978844756225126691	0 50 66 80 96 150 158 182 246 270 278 332 348 362 378 428	-1914018973926
TPT(14)	3978845059607394671	0 2 48 50 78 80 126 128 156 158 168 170 198 200	-1610636705946
STPT(10)	3978845355468565847	0 2 42 44 72 74 102 104 144 146	-1314775534770
SPT(16)	3978846358672986751	0 10 16 18 42 52 66 108 130 172 186 196 220 222 228 238	-311571113866
TPT(14)	3978847270545872831	0 2 36 38 66 68 96 98 150 152 210 212 276 278	600301772214
STPT(10)	3978847468644828737	0 2 60 62 72 74 84 86 144 146	798400728120
SPT(16)	3978847565838646019	0 50 78 138 158 180 204 224 348 368 392 414 434 494 522 572	895594545402
SPT(16)	3978847593213277153	0 6 24 40 66 76 108 120 124 136 168 178 204 220 238 244	922969176536
SPT(16)	3978847628765690339	0 24 44 50 68 80 98 110 138 150 168 180 198 204 224 248	958521589722