Prime p₀= 2741236447249937837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Roadranner
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2741234854513825883	0 20 36 44 50 68 104 110 114 120 156 174 180 188 204 224	-1592736111954
SPT(16)	2741234893486150507	0 10 12 24 40 70 90 124 162 196 216 246 262 274 276 286	-1553763787330
SPT(16)	2741235289395407087	0 6 44 62 66 72 96 114 122 140 164 170 174 192 230 236	-1157854530750
STPT(10)	2741235377098141109	0 2 18 20 30 32 42 44 60 62	-1070151796728
SPT(16)	2741236043948557013	0 14 60 66 68 78 80 84 200 204 206 216 218 224 270 284	-403301380824
TPT(14)	2741236437126913571	0 2 66 68 96 98 108 110 138 140 150 152 198 200	-10123024266
STPT(10)	2741236564893520919	0 2 30 32 120 122 210 212 240 242	117643583082
TPT(14)	2741236591203686531	0 2 18 20 126 128 168 170 300 302 306 308 390 392	143953748694
SPT(16)	2741236961357555021	0 8 20 48 62 72 78 86 102 110 116 126 140 168 180 188	514107617184
STPT(10)	2741236993715688287	0 2 30 32 42 44 54 56 84 86	546465750450
SPT(16)	2741237061306968369	0 8 14 32 38 90 98 164 228 294 302 354 360 378 384 392	614057030532