Prime p₀= 1258100728380508679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: arkiss
db: batch=77, k=10, 2 16 2 40 2

SPT(13)	1258099583550004361	0 36 66 90 108 126 168 210 228 246 270 300 336	-1144830504318
SPT(16)	1258099942283859749	0 20 32 48 60 72 84 90 152 158 170 182 194 210 222 242	-786096648930
STPT(10)	1258100151592493351	0 2 6 8 18 20 30 32 36 38	-576788015328
SPT(13)	1258100197466424199	0 24 42 54 84 90 132 174 180 210 222 240 264	-530914084480
SPT(16)	1258100227799881129	0 24 60 72 100 124 144 174 178 208 228 252 280 292 328 352	-500580627550
STPT(10)	1258100378773814657	0 2 12 14 72 74 132 134 144 146	-349606694022
SPT(16)	1258100771806937941	0 10 12 42 46 60 166 180 238 252 358 372 376 406 408 418	43426429262
TPT(14)	1258100875145062547	0 2 30 32 42 44 60 62 102 104 144 146 252 254	146764553868
SPT(16)	1258101230835962221	0 10 18 36 100 102 120 126 172 178 196 198 262 280 288 298	502455453542
STPT(10)	1258101552965238341	0 2 6 8 48 50 90 92 96 98	824584729662
STPT(12)	1258101667555283729	0 2 48 50 78 80 90 92 120 122 168 170	939174775050