Prime p₀= 1113329589784839137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1113328919523879991	0 30 58 66 130 210 232 286 312 366 388 468 532 540 568 598	-670260959146
STPT(10)	1113329023093774211	0 2 6 8 48 50 90 92 96 98	-566691064926
SPT(16)	1113329272936158029	0 8 14 30 78 114 120 164 168 212 218 254 302 318 324 332	-316848681108
STPT(10)	1113329355572132561	0 2 30 32 78 80 126 128 156 158	-234212706576
TPT(14)	1113329467631937287	0 2 12 14 42 44 54 56 114 116 144 146 174 176	-122152901850
SPT(16)	1113329578775982499	0 28 42 72 112 120 142 144 208 210 232 240 280 310 324 352	-11008856638
STPT(10)	1113329727555126449	0 2 18 20 30 32 42 44 60 62	137770287312
STPT(10)	1113329748900033617	0 2 30 32 42 44 54 56 84 86	159115194480
SPT(16)	1113330022534974697	0 4 40 60 66 124 126 154 162 190 192 250 256 276 312 316	432750135560
SPT(16)	1113330097171905889	0 12 22 28 34 52 70 90 112 132 150 168 174 180 190 202	507387066752
SPT(16)	1113330268675713727	0 34 42 66 94 112 136 196 240 300 324 342 370 394 402 436	678890874590